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Finding the Third Proportional to 48,431.25 and 72,695.81

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Solution

The third proportional to 48,431.25 and 72,695.81 is: 109,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,431.25 : 72,695.81 = 72,695.81 : x
  2. Step 2: Convert to fraction form
    48,431.25/72,695.81 = 72,695.81/x
  3. Step 3: Cross multiply
    48,431.25x = 72,695.81 × 72,695.81
  4. Step 4: Simplify right side
    48,431.25x = 5,284,681,155.04
  5. Step 5: Solve for x
    x = 5,284,681,155.04/48,431.25
  6. Step 6: Final answer
    x = 109,117.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.