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Finding the Third Proportional to 22,023 and 47,340

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Solution

The third proportional to 22,023 and 47,340 is: 101,760.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,023 : 47,340 = 47,340 : x
  2. Step 2: Convert to fraction form
    22,023/47,340 = 47,340/x
  3. Step 3: Cross multiply
    22,023x = 47,340 × 47,340
  4. Step 4: Simplify right side
    22,023x = 2,241,075,600
  5. Step 5: Solve for x
    x = 2,241,075,600/22,023
  6. Step 6: Final answer
    x = 101,760.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.