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Finding the Third Proportional to 37,822 and 46,246

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Solution

The third proportional to 37,822 and 46,246 is: 56,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,822 : 46,246 = 46,246 : x
  2. Step 2: Convert to fraction form
    37,822/46,246 = 46,246/x
  3. Step 3: Cross multiply
    37,822x = 46,246 × 46,246
  4. Step 4: Simplify right side
    37,822x = 2,138,692,516
  5. Step 5: Solve for x
    x = 2,138,692,516/37,822
  6. Step 6: Final answer
    x = 56,546.26

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.