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Finding the Third Proportional to 31,740.75 and 71,001

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Solution

The third proportional to 31,740.75 and 71,001 is: 158,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,740.75 : 71,001 = 71,001 : x
  2. Step 2: Convert to fraction form
    31,740.75/71,001 = 71,001/x
  3. Step 3: Cross multiply
    31,740.75x = 71,001 × 71,001
  4. Step 4: Simplify right side
    31,740.75x = 5,041,142,001
  5. Step 5: Solve for x
    x = 5,041,142,001/31,740.75
  6. Step 6: Final answer
    x = 158,822.40

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.