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Finding the Third Proportional to 22,437 and 34,257.94

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Solution

The third proportional to 22,437 and 34,257.94 is: 52,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,437 : 34,257.94 = 34,257.94 : x
  2. Step 2: Convert to fraction form
    22,437/34,257.94 = 34,257.94/x
  3. Step 3: Cross multiply
    22,437x = 34,257.94 × 34,257.94
  4. Step 4: Simplify right side
    22,437x = 1,173,606,281.75
  5. Step 5: Solve for x
    x = 1,173,606,281.75/22,437
  6. Step 6: Final answer
    x = 52,306.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.