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Finding the Third Proportional to 22,312 and 34,702

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Solution

The third proportional to 22,312 and 34,702 is: 53,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,312 : 34,702 = 34,702 : x
  2. Step 2: Convert to fraction form
    22,312/34,702 = 34,702/x
  3. Step 3: Cross multiply
    22,312x = 34,702 × 34,702
  4. Step 4: Simplify right side
    22,312x = 1,204,228,804
  5. Step 5: Solve for x
    x = 1,204,228,804/22,312
  6. Step 6: Final answer
    x = 53,972.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.