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Finding the Third Proportional to 32,144.34 and 70,515.56

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Solution

The third proportional to 32,144.34 and 70,515.56 is: 154,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144.34 : 70,515.56 = 70,515.56 : x
  2. Step 2: Convert to fraction form
    32,144.34/70,515.56 = 70,515.56/x
  3. Step 3: Cross multiply
    32,144.34x = 70,515.56 × 70,515.56
  4. Step 4: Simplify right side
    32,144.34x = 4,972,444,554.69
  5. Step 5: Solve for x
    x = 4,972,444,554.69/32,144.34
  6. Step 6: Final answer
    x = 154,691.12

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