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Finding the Third Proportional to 27,613.13 and 57,686.63

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Solution

The third proportional to 27,613.13 and 57,686.63 is: 120,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,613.13 : 57,686.63 = 57,686.63 : x
  2. Step 2: Convert to fraction form
    27,613.13/57,686.63 = 57,686.63/x
  3. Step 3: Cross multiply
    27,613.13x = 57,686.63 × 57,686.63
  4. Step 4: Simplify right side
    27,613.13x = 3,327,746,703.89
  5. Step 5: Solve for x
    x = 3,327,746,703.89/27,613.13
  6. Step 6: Final answer
    x = 120,513.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.