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Finding the Third Proportional to 27,147.66 and 63,430.59

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Solution

The third proportional to 27,147.66 and 63,430.59 is: 148,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,147.66 : 63,430.59 = 63,430.59 : x
  2. Step 2: Convert to fraction form
    27,147.66/63,430.59 = 63,430.59/x
  3. Step 3: Cross multiply
    27,147.66x = 63,430.59 × 63,430.59
  4. Step 4: Simplify right side
    27,147.66x = 4,023,440,223.48
  5. Step 5: Solve for x
    x = 4,023,440,223.48/27,147.66
  6. Step 6: Final answer
    x = 148,205.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.