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Finding the Third Proportional to 22,370 and 34,777

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Solution

The third proportional to 22,370 and 34,777 is: 54,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,370 : 34,777 = 34,777 : x
  2. Step 2: Convert to fraction form
    22,370/34,777 = 34,777/x
  3. Step 3: Cross multiply
    22,370x = 34,777 × 34,777
  4. Step 4: Simplify right side
    22,370x = 1,209,439,729
  5. Step 5: Solve for x
    x = 1,209,439,729/22,370
  6. Step 6: Final answer
    x = 54,065.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.