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Finding the Third Proportional to 45,937.13 and 49,101.19

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Solution

The third proportional to 45,937.13 and 49,101.19 is: 52,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,937.13 : 49,101.19 = 49,101.19 : x
  2. Step 2: Convert to fraction form
    45,937.13/49,101.19 = 49,101.19/x
  3. Step 3: Cross multiply
    45,937.13x = 49,101.19 × 49,101.19
  4. Step 4: Simplify right side
    45,937.13x = 2,410,926,613.91
  5. Step 5: Solve for x
    x = 2,410,926,613.91/45,937.13
  6. Step 6: Final answer
    x = 52,483.18

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.