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Finding the Third Proportional to 48,688.51 and 72,838.15

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Solution

The third proportional to 48,688.51 and 72,838.15 is: 108,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,688.51 : 72,838.15 = 72,838.15 : x
  2. Step 2: Convert to fraction form
    48,688.51/72,838.15 = 72,838.15/x
  3. Step 3: Cross multiply
    48,688.51x = 72,838.15 × 72,838.15
  4. Step 4: Simplify right side
    48,688.51x = 5,305,396,454.63
  5. Step 5: Solve for x
    x = 5,305,396,454.63/48,688.51
  6. Step 6: Final answer
    x = 108,966.08

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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.