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Finding the Third Proportional to 10,030 and 21,649

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Solution

The third proportional to 10,030 and 21,649 is: 46,727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030 : 21,649 = 21,649 : x
  2. Step 2: Convert to fraction form
    10,030/21,649 = 21,649/x
  3. Step 3: Cross multiply
    10,030x = 21,649 × 21,649
  4. Step 4: Simplify right side
    10,030x = 468,679,201
  5. Step 5: Solve for x
    x = 468,679,201/10,030
  6. Step 6: Final answer
    x = 46,727.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.