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Finding the Third Proportional to 11,432.50 and 16,014.50

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Solution

The third proportional to 11,432.50 and 16,014.50 is: 22,432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.50 : 16,014.50 = 16,014.50 : x
  2. Step 2: Convert to fraction form
    11,432.50/16,014.50 = 16,014.50/x
  3. Step 3: Cross multiply
    11,432.50x = 16,014.50 × 16,014.50
  4. Step 4: Simplify right side
    11,432.50x = 256,464,210.25
  5. Step 5: Solve for x
    x = 256,464,210.25/11,432.50
  6. Step 6: Final answer
    x = 22,432.91

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.