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Finding the Third Proportional to 41,404.50 and 64,567.13

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Solution

The third proportional to 41,404.50 and 64,567.13 is: 100,687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,404.50 : 64,567.13 = 64,567.13 : x
  2. Step 2: Convert to fraction form
    41,404.50/64,567.13 = 64,567.13/x
  3. Step 3: Cross multiply
    41,404.50x = 64,567.13 × 64,567.13
  4. Step 4: Simplify right side
    41,404.50x = 4,168,913,630.77
  5. Step 5: Solve for x
    x = 4,168,913,630.77/41,404.50
  6. Step 6: Final answer
    x = 100,687.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.