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Finding the Third Proportional to 35,520.75 and 77,730.38

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Solution

The third proportional to 35,520.75 and 77,730.38 is: 170,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,520.75 : 77,730.38 = 77,730.38 : x
  2. Step 2: Convert to fraction form
    35,520.75/77,730.38 = 77,730.38/x
  3. Step 3: Cross multiply
    35,520.75x = 77,730.38 × 77,730.38
  4. Step 4: Simplify right side
    35,520.75x = 6,042,011,197.64
  5. Step 5: Solve for x
    x = 6,042,011,197.64/35,520.75
  6. Step 6: Final answer
    x = 170,098.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.