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Finding the Third Proportional to 14,838 and 22,320

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Solution

The third proportional to 14,838 and 22,320 is: 33,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838 : 22,320 = 22,320 : x
  2. Step 2: Convert to fraction form
    14,838/22,320 = 22,320/x
  3. Step 3: Cross multiply
    14,838x = 22,320 × 22,320
  4. Step 4: Simplify right side
    14,838x = 498,182,400
  5. Step 5: Solve for x
    x = 498,182,400/14,838
  6. Step 6: Final answer
    x = 33,574.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.