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Finding the Third Proportional to 24,726.75 and 59,766.75

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Solution

The third proportional to 24,726.75 and 59,766.75 is: 144,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,726.75 : 59,766.75 = 59,766.75 : x
  2. Step 2: Convert to fraction form
    24,726.75/59,766.75 = 59,766.75/x
  3. Step 3: Cross multiply
    24,726.75x = 59,766.75 × 59,766.75
  4. Step 4: Simplify right side
    24,726.75x = 3,572,064,405.56
  5. Step 5: Solve for x
    x = 3,572,064,405.56/24,726.75
  6. Step 6: Final answer
    x = 144,461.54

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.