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Finding the Third Proportional to 27,753.19 and 58,407.19

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Solution

The third proportional to 27,753.19 and 58,407.19 is: 122,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,753.19 : 58,407.19 = 58,407.19 : x
  2. Step 2: Convert to fraction form
    27,753.19/58,407.19 = 58,407.19/x
  3. Step 3: Cross multiply
    27,753.19x = 58,407.19 × 58,407.19
  4. Step 4: Simplify right side
    27,753.19x = 3,411,399,551.66
  5. Step 5: Solve for x
    x = 3,411,399,551.66/27,753.19
  6. Step 6: Final answer
    x = 122,919.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.