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Finding the Third Proportional to 38,657.60 and 59,856.91

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Solution

The third proportional to 38,657.60 and 59,856.91 is: 92,681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,657.60 : 59,856.91 = 59,856.91 : x
  2. Step 2: Convert to fraction form
    38,657.60/59,856.91 = 59,856.91/x
  3. Step 3: Cross multiply
    38,657.60x = 59,856.91 × 59,856.91
  4. Step 4: Simplify right side
    38,657.60x = 3,582,849,821.32
  5. Step 5: Solve for x
    x = 3,582,849,821.32/38,657.60
  6. Step 6: Final answer
    x = 92,681.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.