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Finding the Third Proportional to 4,681 and 10,241

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Solution

The third proportional to 4,681 and 10,241 is: 22,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681 : 10,241 = 10,241 : x
  2. Step 2: Convert to fraction form
    4,681/10,241 = 10,241/x
  3. Step 3: Cross multiply
    4,681x = 10,241 × 10,241
  4. Step 4: Simplify right side
    4,681x = 104,878,081
  5. Step 5: Solve for x
    x = 104,878,081/4,681
  6. Step 6: Final answer
    x = 22,405.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.