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Finding the Third Proportional to 27,307.13 and 58,613.63

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Solution

The third proportional to 27,307.13 and 58,613.63 is: 125,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,307.13 : 58,613.63 = 58,613.63 : x
  2. Step 2: Convert to fraction form
    27,307.13/58,613.63 = 58,613.63/x
  3. Step 3: Cross multiply
    27,307.13x = 58,613.63 × 58,613.63
  4. Step 4: Simplify right side
    27,307.13x = 3,435,557,035.64
  5. Step 5: Solve for x
    x = 3,435,557,035.64/27,307.13
  6. Step 6: Final answer
    x = 125,811.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.