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Finding the Third Proportional to 21,382 and 32,453

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Solution

The third proportional to 21,382 and 32,453 is: 49,256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382 : 32,453 = 32,453 : x
  2. Step 2: Convert to fraction form
    21,382/32,453 = 32,453/x
  3. Step 3: Cross multiply
    21,382x = 32,453 × 32,453
  4. Step 4: Simplify right side
    21,382x = 1,053,197,209
  5. Step 5: Solve for x
    x = 1,053,197,209/21,382
  6. Step 6: Final answer
    x = 49,256.25

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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.