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Finding the Third Proportional to 9,470 and 13,246

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Solution

The third proportional to 9,470 and 13,246 is: 18,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470 : 13,246 = 13,246 : x
  2. Step 2: Convert to fraction form
    9,470/13,246 = 13,246/x
  3. Step 3: Cross multiply
    9,470x = 13,246 × 13,246
  4. Step 4: Simplify right side
    9,470x = 175,456,516
  5. Step 5: Solve for x
    x = 175,456,516/9,470
  6. Step 6: Final answer
    x = 18,527.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.