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Finding the Third Proportional to 8,714.50 and 13,153

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Solution

The third proportional to 8,714.50 and 13,153 is: 19,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.50 : 13,153 = 13,153 : x
  2. Step 2: Convert to fraction form
    8,714.50/13,153 = 13,153/x
  3. Step 3: Cross multiply
    8,714.50x = 13,153 × 13,153
  4. Step 4: Simplify right side
    8,714.50x = 173,001,409
  5. Step 5: Solve for x
    x = 173,001,409/8,714.50
  6. Step 6: Final answer
    x = 19,852.13

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Why These Related Problems?

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