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Finding the Third Proportional to 48,373.50 and 74,746.50

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Solution

The third proportional to 48,373.50 and 74,746.50 is: 115,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,373.50 : 74,746.50 = 74,746.50 : x
  2. Step 2: Convert to fraction form
    48,373.50/74,746.50 = 74,746.50/x
  3. Step 3: Cross multiply
    48,373.50x = 74,746.50 × 74,746.50
  4. Step 4: Simplify right side
    48,373.50x = 5,587,039,262.25
  5. Step 5: Solve for x
    x = 5,587,039,262.25/48,373.50
  6. Step 6: Final answer
    x = 115,497.93

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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.