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Finding the Third Proportional to 22,051 and 47,557

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Solution

The third proportional to 22,051 and 47,557 is: 102,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,051 : 47,557 = 47,557 : x
  2. Step 2: Convert to fraction form
    22,051/47,557 = 47,557/x
  3. Step 3: Cross multiply
    22,051x = 47,557 × 47,557
  4. Step 4: Simplify right side
    22,051x = 2,261,668,249
  5. Step 5: Solve for x
    x = 2,261,668,249/22,051
  6. Step 6: Final answer
    x = 102,565.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.