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Finding the Third Proportional to 45,712.83 and 60,655.78

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Solution

The third proportional to 45,712.83 and 60,655.78 is: 80,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,712.83 : 60,655.78 = 60,655.78 : x
  2. Step 2: Convert to fraction form
    45,712.83/60,655.78 = 60,655.78/x
  3. Step 3: Cross multiply
    45,712.83x = 60,655.78 × 60,655.78
  4. Step 4: Simplify right side
    45,712.83x = 3,679,123,799.05
  5. Step 5: Solve for x
    x = 3,679,123,799.05/45,712.83
  6. Step 6: Final answer
    x = 80,483.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.