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Finding the Third Proportional to 25,371 and 39,437

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Solution

The third proportional to 25,371 and 39,437 is: 61,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,371 : 39,437 = 39,437 : x
  2. Step 2: Convert to fraction form
    25,371/39,437 = 39,437/x
  3. Step 3: Cross multiply
    25,371x = 39,437 × 39,437
  4. Step 4: Simplify right side
    25,371x = 1,555,276,969
  5. Step 5: Solve for x
    x = 1,555,276,969/25,371
  6. Step 6: Final answer
    x = 61,301.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.