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Finding the Third Proportional to 48,784.62 and 73,176.93

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Solution

The third proportional to 48,784.62 and 73,176.93 is: 109,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784.62 : 73,176.93 = 73,176.93 : x
  2. Step 2: Convert to fraction form
    48,784.62/73,176.93 = 73,176.93/x
  3. Step 3: Cross multiply
    48,784.62x = 73,176.93 × 73,176.93
  4. Step 4: Simplify right side
    48,784.62x = 5,354,863,753.11
  5. Step 5: Solve for x
    x = 5,354,863,753.11/48,784.62
  6. Step 6: Final answer
    x = 109,765.40

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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.