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Finding the Third Proportional to 9,849.09 and 21,610.55

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Solution

The third proportional to 9,849.09 and 21,610.55 is: 47,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.09 : 21,610.55 = 21,610.55 : x
  2. Step 2: Convert to fraction form
    9,849.09/21,610.55 = 21,610.55/x
  3. Step 3: Cross multiply
    9,849.09x = 21,610.55 × 21,610.55
  4. Step 4: Simplify right side
    9,849.09x = 467,015,736.24
  5. Step 5: Solve for x
    x = 467,015,736.24/9,849.09
  6. Step 6: Final answer
    x = 47,417.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.