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Finding the Third Proportional to 48,870 and 73,291.50

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Solution

The third proportional to 48,870 and 73,291.50 is: 109,917.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,870 : 73,291.50 = 73,291.50 : x
  2. Step 2: Convert to fraction form
    48,870/73,291.50 = 73,291.50/x
  3. Step 3: Cross multiply
    48,870x = 73,291.50 × 73,291.50
  4. Step 4: Simplify right side
    48,870x = 5,371,643,972.25
  5. Step 5: Solve for x
    x = 5,371,643,972.25/48,870
  6. Step 6: Final answer
    x = 109,917.00

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Why These Related Problems?

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