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Finding the Third Proportional to 15,440 and 24,588

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Solution

The third proportional to 15,440 and 24,588 is: 39,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,440 : 24,588 = 24,588 : x
  2. Step 2: Convert to fraction form
    15,440/24,588 = 24,588/x
  3. Step 3: Cross multiply
    15,440x = 24,588 × 24,588
  4. Step 4: Simplify right side
    15,440x = 604,569,744
  5. Step 5: Solve for x
    x = 604,569,744/15,440
  6. Step 6: Final answer
    x = 39,156.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.