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Finding the Third Proportional to 7,153 and 10,688

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Solution

The third proportional to 7,153 and 10,688 is: 15,969.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153 : 10,688 = 10,688 : x
  2. Step 2: Convert to fraction form
    7,153/10,688 = 10,688/x
  3. Step 3: Cross multiply
    7,153x = 10,688 × 10,688
  4. Step 4: Simplify right side
    7,153x = 114,233,344
  5. Step 5: Solve for x
    x = 114,233,344/7,153
  6. Step 6: Final answer
    x = 15,969.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.