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Finding the Third Proportional to 15,154.50 and 32,414.50

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Solution

The third proportional to 15,154.50 and 32,414.50 is: 69,332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,154.50 : 32,414.50 = 32,414.50 : x
  2. Step 2: Convert to fraction form
    15,154.50/32,414.50 = 32,414.50/x
  3. Step 3: Cross multiply
    15,154.50x = 32,414.50 × 32,414.50
  4. Step 4: Simplify right side
    15,154.50x = 1,050,699,810.25
  5. Step 5: Solve for x
    x = 1,050,699,810.25/15,154.50
  6. Step 6: Final answer
    x = 69,332.53

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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.