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Finding the Third Proportional to 22,359 and 35,361

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Solution

The third proportional to 22,359 and 35,361 is: 55,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,359 : 35,361 = 35,361 : x
  2. Step 2: Convert to fraction form
    22,359/35,361 = 35,361/x
  3. Step 3: Cross multiply
    22,359x = 35,361 × 35,361
  4. Step 4: Simplify right side
    22,359x = 1,250,400,321
  5. Step 5: Solve for x
    x = 1,250,400,321/22,359
  6. Step 6: Final answer
    x = 55,923.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.