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Finding the Third Proportional to 28,098 and 59,771.25

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Solution

The third proportional to 28,098 and 59,771.25 is: 127,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,098 : 59,771.25 = 59,771.25 : x
  2. Step 2: Convert to fraction form
    28,098/59,771.25 = 59,771.25/x
  3. Step 3: Cross multiply
    28,098x = 59,771.25 × 59,771.25
  4. Step 4: Simplify right side
    28,098x = 3,572,602,326.56
  5. Step 5: Solve for x
    x = 3,572,602,326.56/28,098
  6. Step 6: Final answer
    x = 127,147.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.