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Finding the Third Proportional to 25,859 and 39,541

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Solution

The third proportional to 25,859 and 39,541 is: 60,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,859 : 39,541 = 39,541 : x
  2. Step 2: Convert to fraction form
    25,859/39,541 = 39,541/x
  3. Step 3: Cross multiply
    25,859x = 39,541 × 39,541
  4. Step 4: Simplify right side
    25,859x = 1,563,490,681
  5. Step 5: Solve for x
    x = 1,563,490,681/25,859
  6. Step 6: Final answer
    x = 60,462.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.