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Finding the Third Proportional to 13,332 and 23,640

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Solution

The third proportional to 13,332 and 23,640 is: 41,917.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,332 : 23,640 = 23,640 : x
  2. Step 2: Convert to fraction form
    13,332/23,640 = 23,640/x
  3. Step 3: Cross multiply
    13,332x = 23,640 × 23,640
  4. Step 4: Simplify right side
    13,332x = 558,849,600
  5. Step 5: Solve for x
    x = 558,849,600/13,332
  6. Step 6: Final answer
    x = 41,917.91

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.