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Finding the Third Proportional to 21,533 and 31,548

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Solution

The third proportional to 21,533 and 31,548 is: 46,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533 : 31,548 = 31,548 : x
  2. Step 2: Convert to fraction form
    21,533/31,548 = 31,548/x
  3. Step 3: Cross multiply
    21,533x = 31,548 × 31,548
  4. Step 4: Simplify right side
    21,533x = 995,276,304
  5. Step 5: Solve for x
    x = 995,276,304/21,533
  6. Step 6: Final answer
    x = 46,220.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.