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Finding the Third Proportional to 25,332 and 36,348

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Solution

The third proportional to 25,332 and 36,348 is: 52,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,332 : 36,348 = 36,348 : x
  2. Step 2: Convert to fraction form
    25,332/36,348 = 36,348/x
  3. Step 3: Cross multiply
    25,332x = 36,348 × 36,348
  4. Step 4: Simplify right side
    25,332x = 1,321,177,104
  5. Step 5: Solve for x
    x = 1,321,177,104/25,332
  6. Step 6: Final answer
    x = 52,154.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.