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Finding the Third Proportional to 35,497.59 and 75,731.16

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Solution

The third proportional to 35,497.59 and 75,731.16 is: 161,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,497.59 : 75,731.16 = 75,731.16 : x
  2. Step 2: Convert to fraction form
    35,497.59/75,731.16 = 75,731.16/x
  3. Step 3: Cross multiply
    35,497.59x = 75,731.16 × 75,731.16
  4. Step 4: Simplify right side
    35,497.59x = 5,735,208,026.96
  5. Step 5: Solve for x
    x = 5,735,208,026.96/35,497.59
  6. Step 6: Final answer
    x = 161,566.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.