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Finding the Third Proportional to 32,111 and 49,418

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Solution

The third proportional to 32,111 and 49,418 is: 76,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,111 : 49,418 = 49,418 : x
  2. Step 2: Convert to fraction form
    32,111/49,418 = 49,418/x
  3. Step 3: Cross multiply
    32,111x = 49,418 × 49,418
  4. Step 4: Simplify right side
    32,111x = 2,442,138,724
  5. Step 5: Solve for x
    x = 2,442,138,724/32,111
  6. Step 6: Final answer
    x = 76,053.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.