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Finding the Third Proportional to 24,214.50 and 36,461.25

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Solution

The third proportional to 24,214.50 and 36,461.25 is: 54,901.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214.50 : 36,461.25 = 36,461.25 : x
  2. Step 2: Convert to fraction form
    24,214.50/36,461.25 = 36,461.25/x
  3. Step 3: Cross multiply
    24,214.50x = 36,461.25 × 36,461.25
  4. Step 4: Simplify right side
    24,214.50x = 1,329,422,751.56
  5. Step 5: Solve for x
    x = 1,329,422,751.56/24,214.50
  6. Step 6: Final answer
    x = 54,901.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.