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Finding the Third Proportional to 29,664 and 45,915

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Solution

The third proportional to 29,664 and 45,915 is: 71,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,664 : 45,915 = 45,915 : x
  2. Step 2: Convert to fraction form
    29,664/45,915 = 45,915/x
  3. Step 3: Cross multiply
    29,664x = 45,915 × 45,915
  4. Step 4: Simplify right side
    29,664x = 2,108,187,225
  5. Step 5: Solve for x
    x = 2,108,187,225/29,664
  6. Step 6: Final answer
    x = 71,068.88

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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.