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Finding the Third Proportional to 9,702 and 15,309

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Solution

The third proportional to 9,702 and 15,309 is: 24,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702 : 15,309 = 15,309 : x
  2. Step 2: Convert to fraction form
    9,702/15,309 = 15,309/x
  3. Step 3: Cross multiply
    9,702x = 15,309 × 15,309
  4. Step 4: Simplify right side
    9,702x = 234,365,481
  5. Step 5: Solve for x
    x = 234,365,481/9,702
  6. Step 6: Final answer
    x = 24,156.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.