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Finding the Third Proportional to 25,810.50 and 36,345.75

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Solution

The third proportional to 25,810.50 and 36,345.75 is: 51,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,810.50 : 36,345.75 = 36,345.75 : x
  2. Step 2: Convert to fraction form
    25,810.50/36,345.75 = 36,345.75/x
  3. Step 3: Cross multiply
    25,810.50x = 36,345.75 × 36,345.75
  4. Step 4: Simplify right side
    25,810.50x = 1,321,013,543.06
  5. Step 5: Solve for x
    x = 1,321,013,543.06/25,810.50
  6. Step 6: Final answer
    x = 51,181.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.