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Finding the Third Proportional to 27,986.77 and 61,663.15

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Solution

The third proportional to 27,986.77 and 61,663.15 is: 135,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,986.77 : 61,663.15 = 61,663.15 : x
  2. Step 2: Convert to fraction form
    27,986.77/61,663.15 = 61,663.15/x
  3. Step 3: Cross multiply
    27,986.77x = 61,663.15 × 61,663.15
  4. Step 4: Simplify right side
    27,986.77x = 3,802,343,875.23
  5. Step 5: Solve for x
    x = 3,802,343,875.23/27,986.77
  6. Step 6: Final answer
    x = 135,862.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.