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Finding the Third Proportional to 27,677.25 and 60,549.75

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Solution

The third proportional to 27,677.25 and 60,549.75 is: 132,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677.25 : 60,549.75 = 60,549.75 : x
  2. Step 2: Convert to fraction form
    27,677.25/60,549.75 = 60,549.75/x
  3. Step 3: Cross multiply
    27,677.25x = 60,549.75 × 60,549.75
  4. Step 4: Simplify right side
    27,677.25x = 3,666,272,225.06
  5. Step 5: Solve for x
    x = 3,666,272,225.06/27,677.25
  6. Step 6: Final answer
    x = 132,465.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.