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Finding the Third Proportional to 24,572.25 and 52,647.75

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Solution

The third proportional to 24,572.25 and 52,647.75 is: 112,801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,572.25 : 52,647.75 = 52,647.75 : x
  2. Step 2: Convert to fraction form
    24,572.25/52,647.75 = 52,647.75/x
  3. Step 3: Cross multiply
    24,572.25x = 52,647.75 × 52,647.75
  4. Step 4: Simplify right side
    24,572.25x = 2,771,785,580.06
  5. Step 5: Solve for x
    x = 2,771,785,580.06/24,572.25
  6. Step 6: Final answer
    x = 112,801.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.