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Finding the Third Proportional to 21,076 and 31,559

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Solution

The third proportional to 21,076 and 31,559 is: 47,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076 : 31,559 = 31,559 : x
  2. Step 2: Convert to fraction form
    21,076/31,559 = 31,559/x
  3. Step 3: Cross multiply
    21,076x = 31,559 × 31,559
  4. Step 4: Simplify right side
    21,076x = 995,970,481
  5. Step 5: Solve for x
    x = 995,970,481/21,076
  6. Step 6: Final answer
    x = 47,256.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.