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Finding the Third Proportional to 9,801.56 and 21,479.06

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Solution

The third proportional to 9,801.56 and 21,479.06 is: 47,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.56 : 21,479.06 = 21,479.06 : x
  2. Step 2: Convert to fraction form
    9,801.56/21,479.06 = 21,479.06/x
  3. Step 3: Cross multiply
    9,801.56x = 21,479.06 × 21,479.06
  4. Step 4: Simplify right side
    9,801.56x = 461,350,125.88
  5. Step 5: Solve for x
    x = 461,350,125.88/9,801.56
  6. Step 6: Final answer
    x = 47,069.04

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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.