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Finding the Third Proportional to 9,702 and 22,659

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Solution

The third proportional to 9,702 and 22,659 is: 52,920.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702 : 22,659 = 22,659 : x
  2. Step 2: Convert to fraction form
    9,702/22,659 = 22,659/x
  3. Step 3: Cross multiply
    9,702x = 22,659 × 22,659
  4. Step 4: Simplify right side
    9,702x = 513,430,281
  5. Step 5: Solve for x
    x = 513,430,281/9,702
  6. Step 6: Final answer
    x = 52,920.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.