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Finding the Third Proportional to 38,883.75 and 83,275.13

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Solution

The third proportional to 38,883.75 and 83,275.13 is: 178,345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,883.75 : 83,275.13 = 83,275.13 : x
  2. Step 2: Convert to fraction form
    38,883.75/83,275.13 = 83,275.13/x
  3. Step 3: Cross multiply
    38,883.75x = 83,275.13 × 83,275.13
  4. Step 4: Simplify right side
    38,883.75x = 6,934,746,443.77
  5. Step 5: Solve for x
    x = 6,934,746,443.77/38,883.75
  6. Step 6: Final answer
    x = 178,345.62

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Why These Related Problems?

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