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Finding the Third Proportional to 22,313 and 32,169

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Solution

The third proportional to 22,313 and 32,169 is: 46,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,313 : 32,169 = 32,169 : x
  2. Step 2: Convert to fraction form
    22,313/32,169 = 32,169/x
  3. Step 3: Cross multiply
    22,313x = 32,169 × 32,169
  4. Step 4: Simplify right side
    22,313x = 1,034,844,561
  5. Step 5: Solve for x
    x = 1,034,844,561/22,313
  6. Step 6: Final answer
    x = 46,378.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.