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Finding the Third Proportional to 35,737.88 and 77,700.73

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Solution

The third proportional to 35,737.88 and 77,700.73 is: 168,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,737.88 : 77,700.73 = 77,700.73 : x
  2. Step 2: Convert to fraction form
    35,737.88/77,700.73 = 77,700.73/x
  3. Step 3: Cross multiply
    35,737.88x = 77,700.73 × 77,700.73
  4. Step 4: Simplify right side
    35,737.88x = 6,037,402,908.34
  5. Step 5: Solve for x
    x = 6,037,402,908.34/35,737.88
  6. Step 6: Final answer
    x = 168,935.70

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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.