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Finding the Third Proportional to 29,554 and 64,850

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Solution

The third proportional to 29,554 and 64,850 is: 142,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,554 : 64,850 = 64,850 : x
  2. Step 2: Convert to fraction form
    29,554/64,850 = 64,850/x
  3. Step 3: Cross multiply
    29,554x = 64,850 × 64,850
  4. Step 4: Simplify right side
    29,554x = 4,205,522,500
  5. Step 5: Solve for x
    x = 4,205,522,500/29,554
  6. Step 6: Final answer
    x = 142,299.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.