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Finding the Third Proportional to 22,331 and 35,546

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Solution

The third proportional to 22,331 and 35,546 is: 56,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,331 : 35,546 = 35,546 : x
  2. Step 2: Convert to fraction form
    22,331/35,546 = 35,546/x
  3. Step 3: Cross multiply
    22,331x = 35,546 × 35,546
  4. Step 4: Simplify right side
    22,331x = 1,263,518,116
  5. Step 5: Solve for x
    x = 1,263,518,116/22,331
  6. Step 6: Final answer
    x = 56,581.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.