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Finding the Third Proportional to 38,856.75 and 61,788.23

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Solution

The third proportional to 38,856.75 and 61,788.23 is: 98,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,856.75 : 61,788.23 = 61,788.23 : x
  2. Step 2: Convert to fraction form
    38,856.75/61,788.23 = 61,788.23/x
  3. Step 3: Cross multiply
    38,856.75x = 61,788.23 × 61,788.23
  4. Step 4: Simplify right side
    38,856.75x = 3,817,785,907.18
  5. Step 5: Solve for x
    x = 3,817,785,907.18/38,856.75
  6. Step 6: Final answer
    x = 98,252.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.