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Finding the Third Proportional to 44,142 and 56,677.50

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Solution

The third proportional to 44,142 and 56,677.50 is: 72,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,142 : 56,677.50 = 56,677.50 : x
  2. Step 2: Convert to fraction form
    44,142/56,677.50 = 56,677.50/x
  3. Step 3: Cross multiply
    44,142x = 56,677.50 × 56,677.50
  4. Step 4: Simplify right side
    44,142x = 3,212,339,006.25
  5. Step 5: Solve for x
    x = 3,212,339,006.25/44,142
  6. Step 6: Final answer
    x = 72,772.85

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.