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Finding the Third Proportional to 48,258 and 67,957.50

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Solution

The third proportional to 48,258 and 67,957.50 is: 95,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,258 : 67,957.50 = 67,957.50 : x
  2. Step 2: Convert to fraction form
    48,258/67,957.50 = 67,957.50/x
  3. Step 3: Cross multiply
    48,258x = 67,957.50 × 67,957.50
  4. Step 4: Simplify right side
    48,258x = 4,618,221,806.25
  5. Step 5: Solve for x
    x = 4,618,221,806.25/48,258
  6. Step 6: Final answer
    x = 95,698.57

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.