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Finding the Third Proportional to 9,872.30 and 21,419.02

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Solution

The third proportional to 9,872.30 and 21,419.02 is: 46,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.30 : 21,419.02 = 21,419.02 : x
  2. Step 2: Convert to fraction form
    9,872.30/21,419.02 = 21,419.02/x
  3. Step 3: Cross multiply
    9,872.30x = 21,419.02 × 21,419.02
  4. Step 4: Simplify right side
    9,872.30x = 458,774,230.34
  5. Step 5: Solve for x
    x = 458,774,230.34/9,872.30
  6. Step 6: Final answer
    x = 46,470.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.