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Finding the Third Proportional to 27,038.25 and 58,637.25

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Solution

The third proportional to 27,038.25 and 58,637.25 is: 127,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038.25 : 58,637.25 = 58,637.25 : x
  2. Step 2: Convert to fraction form
    27,038.25/58,637.25 = 58,637.25/x
  3. Step 3: Cross multiply
    27,038.25x = 58,637.25 × 58,637.25
  4. Step 4: Simplify right side
    27,038.25x = 3,438,327,087.56
  5. Step 5: Solve for x
    x = 3,438,327,087.56/27,038.25
  6. Step 6: Final answer
    x = 127,165.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.