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Finding the Third Proportional to 34,656.19 and 48,286.13

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Solution

The third proportional to 34,656.19 and 48,286.13 is: 67,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,656.19 : 48,286.13 = 48,286.13 : x
  2. Step 2: Convert to fraction form
    34,656.19/48,286.13 = 48,286.13/x
  3. Step 3: Cross multiply
    34,656.19x = 48,286.13 × 48,286.13
  4. Step 4: Simplify right side
    34,656.19x = 2,331,549,867.52
  5. Step 5: Solve for x
    x = 2,331,549,867.52/34,656.19
  6. Step 6: Final answer
    x = 67,276.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.