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Finding the Third Proportional to 14,959.50 and 23,229

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Solution

The third proportional to 14,959.50 and 23,229 is: 36,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,959.50 : 23,229 = 23,229 : x
  2. Step 2: Convert to fraction form
    14,959.50/23,229 = 23,229/x
  3. Step 3: Cross multiply
    14,959.50x = 23,229 × 23,229
  4. Step 4: Simplify right side
    14,959.50x = 539,586,441
  5. Step 5: Solve for x
    x = 539,586,441/14,959.50
  6. Step 6: Final answer
    x = 36,069.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.