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Finding the Third Proportional to 29,643 and 52,706

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Solution

The third proportional to 29,643 and 52,706 is: 93,712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,643 : 52,706 = 52,706 : x
  2. Step 2: Convert to fraction form
    29,643/52,706 = 52,706/x
  3. Step 3: Cross multiply
    29,643x = 52,706 × 52,706
  4. Step 4: Simplify right side
    29,643x = 2,777,922,436
  5. Step 5: Solve for x
    x = 2,777,922,436/29,643
  6. Step 6: Final answer
    x = 93,712.59

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.