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Finding the Third Proportional to 29,516 and 44,498

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Solution

The third proportional to 29,516 and 44,498 is: 67,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,516 : 44,498 = 44,498 : x
  2. Step 2: Convert to fraction form
    29,516/44,498 = 44,498/x
  3. Step 3: Cross multiply
    29,516x = 44,498 × 44,498
  4. Step 4: Simplify right side
    29,516x = 1,980,072,004
  5. Step 5: Solve for x
    x = 1,980,072,004/29,516
  6. Step 6: Final answer
    x = 67,084.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.