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Finding the Third Proportional to 35,464 and 52,495

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Solution

The third proportional to 35,464 and 52,495 is: 77,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,464 : 52,495 = 52,495 : x
  2. Step 2: Convert to fraction form
    35,464/52,495 = 52,495/x
  3. Step 3: Cross multiply
    35,464x = 52,495 × 52,495
  4. Step 4: Simplify right side
    35,464x = 2,755,725,025
  5. Step 5: Solve for x
    x = 2,755,725,025/35,464
  6. Step 6: Final answer
    x = 77,704.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.