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Finding the Third Proportional to 30,597.75 and 72,343.13

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Solution

The third proportional to 30,597.75 and 72,343.13 is: 171,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.75 : 72,343.13 = 72,343.13 : x
  2. Step 2: Convert to fraction form
    30,597.75/72,343.13 = 72,343.13/x
  3. Step 3: Cross multiply
    30,597.75x = 72,343.13 × 72,343.13
  4. Step 4: Simplify right side
    30,597.75x = 5,233,527,734.77
  5. Step 5: Solve for x
    x = 5,233,527,734.77/30,597.75
  6. Step 6: Final answer
    x = 171,042.89

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.