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Finding the Third Proportional to 49,829.63 and 67,129.88

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Solution

The third proportional to 49,829.63 and 67,129.88 is: 90,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,829.63 : 67,129.88 = 67,129.88 : x
  2. Step 2: Convert to fraction form
    49,829.63/67,129.88 = 67,129.88/x
  3. Step 3: Cross multiply
    49,829.63x = 67,129.88 × 67,129.88
  4. Step 4: Simplify right side
    49,829.63x = 4,506,420,117.52
  5. Step 5: Solve for x
    x = 4,506,420,117.52/49,829.63
  6. Step 6: Final answer
    x = 90,436.56

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.