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Finding the Third Proportional to 7,120 and 10,688

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Solution

The third proportional to 7,120 and 10,688 is: 16,044.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120 : 10,688 = 10,688 : x
  2. Step 2: Convert to fraction form
    7,120/10,688 = 10,688/x
  3. Step 3: Cross multiply
    7,120x = 10,688 × 10,688
  4. Step 4: Simplify right side
    7,120x = 114,233,344
  5. Step 5: Solve for x
    x = 114,233,344/7,120
  6. Step 6: Final answer
    x = 16,044.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.