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Finding the Third Proportional to 21,681 and 47,291

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Solution

The third proportional to 21,681 and 47,291 is: 103,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681 : 47,291 = 47,291 : x
  2. Step 2: Convert to fraction form
    21,681/47,291 = 47,291/x
  3. Step 3: Cross multiply
    21,681x = 47,291 × 47,291
  4. Step 4: Simplify right side
    21,681x = 2,236,438,681
  5. Step 5: Solve for x
    x = 2,236,438,681/21,681
  6. Step 6: Final answer
    x = 103,152.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.