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Finding the Third Proportional to 9,848.06 and 21,609.66

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Solution

The third proportional to 9,848.06 and 21,609.66 is: 47,418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.06 : 21,609.66 = 21,609.66 : x
  2. Step 2: Convert to fraction form
    9,848.06/21,609.66 = 21,609.66/x
  3. Step 3: Cross multiply
    9,848.06x = 21,609.66 × 21,609.66
  4. Step 4: Simplify right side
    9,848.06x = 466,977,243.24
  5. Step 5: Solve for x
    x = 466,977,243.24/9,848.06
  6. Step 6: Final answer
    x = 47,418.18

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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.