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Finding the Third Proportional to 19,228 and 46,538

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Solution

The third proportional to 19,228 and 46,538 is: 112,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,228 : 46,538 = 46,538 : x
  2. Step 2: Convert to fraction form
    19,228/46,538 = 46,538/x
  3. Step 3: Cross multiply
    19,228x = 46,538 × 46,538
  4. Step 4: Simplify right side
    19,228x = 2,165,785,444
  5. Step 5: Solve for x
    x = 2,165,785,444/19,228
  6. Step 6: Final answer
    x = 112,637.06

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.