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Finding the Third Proportional to 21,347 and 31,468

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Solution

The third proportional to 21,347 and 31,468 is: 46,387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,347 : 31,468 = 31,468 : x
  2. Step 2: Convert to fraction form
    21,347/31,468 = 31,468/x
  3. Step 3: Cross multiply
    21,347x = 31,468 × 31,468
  4. Step 4: Simplify right side
    21,347x = 990,235,024
  5. Step 5: Solve for x
    x = 990,235,024/21,347
  6. Step 6: Final answer
    x = 46,387.55

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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.