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Finding the Third Proportional to 9,258 and 14,320

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Solution

The third proportional to 9,258 and 14,320 is: 22,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258 : 14,320 = 14,320 : x
  2. Step 2: Convert to fraction form
    9,258/14,320 = 14,320/x
  3. Step 3: Cross multiply
    9,258x = 14,320 × 14,320
  4. Step 4: Simplify right side
    9,258x = 205,062,400
  5. Step 5: Solve for x
    x = 205,062,400/9,258
  6. Step 6: Final answer
    x = 22,149.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.