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Finding the Third Proportional to 22,112 and 35,648

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Solution

The third proportional to 22,112 and 35,648 is: 57,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,112 : 35,648 = 35,648 : x
  2. Step 2: Convert to fraction form
    22,112/35,648 = 35,648/x
  3. Step 3: Cross multiply
    22,112x = 35,648 × 35,648
  4. Step 4: Simplify right side
    22,112x = 1,270,779,904
  5. Step 5: Solve for x
    x = 1,270,779,904/22,112
  6. Step 6: Final answer
    x = 57,470.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.