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Finding the Third Proportional to 9,938.95 and 21,244.78

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Solution

The third proportional to 9,938.95 and 21,244.78 is: 45,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.95 : 21,244.78 = 21,244.78 : x
  2. Step 2: Convert to fraction form
    9,938.95/21,244.78 = 21,244.78/x
  3. Step 3: Cross multiply
    9,938.95x = 21,244.78 × 21,244.78
  4. Step 4: Simplify right side
    9,938.95x = 451,340,730.36
  5. Step 5: Solve for x
    x = 451,340,730.36/9,938.95
  6. Step 6: Final answer
    x = 45,411.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.