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Finding the Third Proportional to 48,788 and 73,566

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Solution

The third proportional to 48,788 and 73,566 is: 110,928.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,788 : 73,566 = 73,566 : x
  2. Step 2: Convert to fraction form
    48,788/73,566 = 73,566/x
  3. Step 3: Cross multiply
    48,788x = 73,566 × 73,566
  4. Step 4: Simplify right side
    48,788x = 5,411,956,356
  5. Step 5: Solve for x
    x = 5,411,956,356/48,788
  6. Step 6: Final answer
    x = 110,928.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.