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Finding the Third Proportional to 35,766.56 and 77,775.19

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Solution

The third proportional to 35,766.56 and 77,775.19 is: 169,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,766.56 : 77,775.19 = 77,775.19 : x
  2. Step 2: Convert to fraction form
    35,766.56/77,775.19 = 77,775.19/x
  3. Step 3: Cross multiply
    35,766.56x = 77,775.19 × 77,775.19
  4. Step 4: Simplify right side
    35,766.56x = 6,048,979,790.66
  5. Step 5: Solve for x
    x = 6,048,979,790.66/35,766.56
  6. Step 6: Final answer
    x = 169,123.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.