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Finding the Third Proportional to 15,724 and 36,664

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Solution

The third proportional to 15,724 and 36,664 is: 85,490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724 : 36,664 = 36,664 : x
  2. Step 2: Convert to fraction form
    15,724/36,664 = 36,664/x
  3. Step 3: Cross multiply
    15,724x = 36,664 × 36,664
  4. Step 4: Simplify right side
    15,724x = 1,344,248,896
  5. Step 5: Solve for x
    x = 1,344,248,896/15,724
  6. Step 6: Final answer
    x = 85,490.26

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.