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Finding the Third Proportional to 22,482 and 37,296

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Solution

The third proportional to 22,482 and 37,296 is: 61,871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,482 : 37,296 = 37,296 : x
  2. Step 2: Convert to fraction form
    22,482/37,296 = 37,296/x
  3. Step 3: Cross multiply
    22,482x = 37,296 × 37,296
  4. Step 4: Simplify right side
    22,482x = 1,390,991,616
  5. Step 5: Solve for x
    x = 1,390,991,616/22,482
  6. Step 6: Final answer
    x = 61,871.35

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.