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Finding the Third Proportional to 15,053.34 and 32,189.91

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Solution

The third proportional to 15,053.34 and 32,189.91 is: 68,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,053.34 : 32,189.91 = 32,189.91 : x
  2. Step 2: Convert to fraction form
    15,053.34/32,189.91 = 32,189.91/x
  3. Step 3: Cross multiply
    15,053.34x = 32,189.91 × 32,189.91
  4. Step 4: Simplify right side
    15,053.34x = 1,036,190,064.38
  5. Step 5: Solve for x
    x = 1,036,190,064.38/15,053.34
  6. Step 6: Final answer
    x = 68,834.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.