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Finding the Third Proportional to 47,700.56 and 70,092.84

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Solution

The third proportional to 47,700.56 and 70,092.84 is: 102,996.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,700.56 : 70,092.84 = 70,092.84 : x
  2. Step 2: Convert to fraction form
    47,700.56/70,092.84 = 70,092.84/x
  3. Step 3: Cross multiply
    47,700.56x = 70,092.84 × 70,092.84
  4. Step 4: Simplify right side
    47,700.56x = 4,913,006,744.96
  5. Step 5: Solve for x
    x = 4,913,006,744.96/47,700.56
  6. Step 6: Final answer
    x = 102,996.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.