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Finding the Third Proportional to 25,924 and 40,673.75

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Solution

The third proportional to 25,924 and 40,673.75 is: 63,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,924 : 40,673.75 = 40,673.75 : x
  2. Step 2: Convert to fraction form
    25,924/40,673.75 = 40,673.75/x
  3. Step 3: Cross multiply
    25,924x = 40,673.75 × 40,673.75
  4. Step 4: Simplify right side
    25,924x = 1,654,353,939.06
  5. Step 5: Solve for x
    x = 1,654,353,939.06/25,924
  6. Step 6: Final answer
    x = 63,815.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.