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Finding the Third Proportional to 25,641 and 39,359

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Solution

The third proportional to 25,641 and 39,359 is: 60,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,641 : 39,359 = 39,359 : x
  2. Step 2: Convert to fraction form
    25,641/39,359 = 39,359/x
  3. Step 3: Cross multiply
    25,641x = 39,359 × 39,359
  4. Step 4: Simplify right side
    25,641x = 1,549,130,881
  5. Step 5: Solve for x
    x = 1,549,130,881/25,641
  6. Step 6: Final answer
    x = 60,416.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.