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Finding the Third Proportional to 15,234 and 16,818

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Solution

The third proportional to 15,234 and 16,818 is: 18,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,234 : 16,818 = 16,818 : x
  2. Step 2: Convert to fraction form
    15,234/16,818 = 16,818/x
  3. Step 3: Cross multiply
    15,234x = 16,818 × 16,818
  4. Step 4: Simplify right side
    15,234x = 282,845,124
  5. Step 5: Solve for x
    x = 282,845,124/15,234
  6. Step 6: Final answer
    x = 18,566.70

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.