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Finding the Third Proportional to 21,332 and 33,460

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Solution

The third proportional to 21,332 and 33,460 is: 52,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332 : 33,460 = 33,460 : x
  2. Step 2: Convert to fraction form
    21,332/33,460 = 33,460/x
  3. Step 3: Cross multiply
    21,332x = 33,460 × 33,460
  4. Step 4: Simplify right side
    21,332x = 1,119,571,600
  5. Step 5: Solve for x
    x = 1,119,571,600/21,332
  6. Step 6: Final answer
    x = 52,483.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.