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Finding the Third Proportional to 48,778 and 73,047

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Solution

The third proportional to 48,778 and 73,047 is: 109,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,778 : 73,047 = 73,047 : x
  2. Step 2: Convert to fraction form
    48,778/73,047 = 73,047/x
  3. Step 3: Cross multiply
    48,778x = 73,047 × 73,047
  4. Step 4: Simplify right side
    48,778x = 5,335,864,209
  5. Step 5: Solve for x
    x = 5,335,864,209/48,778
  6. Step 6: Final answer
    x = 109,390.80

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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.