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Finding the Third Proportional to 13,474.50 and 29,541

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Solution

The third proportional to 13,474.50 and 29,541 is: 64,764.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.50 : 29,541 = 29,541 : x
  2. Step 2: Convert to fraction form
    13,474.50/29,541 = 29,541/x
  3. Step 3: Cross multiply
    13,474.50x = 29,541 × 29,541
  4. Step 4: Simplify right side
    13,474.50x = 872,670,681
  5. Step 5: Solve for x
    x = 872,670,681/13,474.50
  6. Step 6: Final answer
    x = 64,764.61

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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.