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Finding the Third Proportional to 9,448 and 14,348

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Solution

The third proportional to 9,448 and 14,348 is: 21,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448 : 14,348 = 14,348 : x
  2. Step 2: Convert to fraction form
    9,448/14,348 = 14,348/x
  3. Step 3: Cross multiply
    9,448x = 14,348 × 14,348
  4. Step 4: Simplify right side
    9,448x = 205,865,104
  5. Step 5: Solve for x
    x = 205,865,104/9,448
  6. Step 6: Final answer
    x = 21,789.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.