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Finding the Third Proportional to 29,594.50 and 63,581

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Solution

The third proportional to 29,594.50 and 63,581 is: 136,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,594.50 : 63,581 = 63,581 : x
  2. Step 2: Convert to fraction form
    29,594.50/63,581 = 63,581/x
  3. Step 3: Cross multiply
    29,594.50x = 63,581 × 63,581
  4. Step 4: Simplify right side
    29,594.50x = 4,042,543,561
  5. Step 5: Solve for x
    x = 4,042,543,561/29,594.50
  6. Step 6: Final answer
    x = 136,597.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.