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Finding the Third Proportional to 29,143.69 and 38,683.13

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Solution

The third proportional to 29,143.69 and 38,683.13 is: 51,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,143.69 : 38,683.13 = 38,683.13 : x
  2. Step 2: Convert to fraction form
    29,143.69/38,683.13 = 38,683.13/x
  3. Step 3: Cross multiply
    29,143.69x = 38,683.13 × 38,683.13
  4. Step 4: Simplify right side
    29,143.69x = 1,496,384,159.77
  5. Step 5: Solve for x
    x = 1,496,384,159.77/29,143.69
  6. Step 6: Final answer
    x = 51,345.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.