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Finding the Third Proportional to 25,041.50 and 51,010

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Solution

The third proportional to 25,041.50 and 51,010 is: 103,908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,041.50 : 51,010 = 51,010 : x
  2. Step 2: Convert to fraction form
    25,041.50/51,010 = 51,010/x
  3. Step 3: Cross multiply
    25,041.50x = 51,010 × 51,010
  4. Step 4: Simplify right side
    25,041.50x = 2,602,020,100
  5. Step 5: Solve for x
    x = 2,602,020,100/25,041.50
  6. Step 6: Final answer
    x = 103,908.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.