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Finding the Third Proportional to 7,182 and 9,702

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Solution

The third proportional to 7,182 and 9,702 is: 13,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182 : 9,702 = 9,702 : x
  2. Step 2: Convert to fraction form
    7,182/9,702 = 9,702/x
  3. Step 3: Cross multiply
    7,182x = 9,702 × 9,702
  4. Step 4: Simplify right side
    7,182x = 94,128,804
  5. Step 5: Solve for x
    x = 94,128,804/7,182
  6. Step 6: Final answer
    x = 13,106.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.