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Finding the Third Proportional to 32,182.13 and 49,231.13

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Solution

The third proportional to 32,182.13 and 49,231.13 is: 75,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,182.13 : 49,231.13 = 49,231.13 : x
  2. Step 2: Convert to fraction form
    32,182.13/49,231.13 = 49,231.13/x
  3. Step 3: Cross multiply
    32,182.13x = 49,231.13 × 49,231.13
  4. Step 4: Simplify right side
    32,182.13x = 2,423,703,668.77
  5. Step 5: Solve for x
    x = 2,423,703,668.77/32,182.13
  6. Step 6: Final answer
    x = 75,312.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.