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Finding the Third Proportional to 9,166.61 and 19,851.01

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Solution

The third proportional to 9,166.61 and 19,851.01 is: 42,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.61 : 19,851.01 = 19,851.01 : x
  2. Step 2: Convert to fraction form
    9,166.61/19,851.01 = 19,851.01/x
  3. Step 3: Cross multiply
    9,166.61x = 19,851.01 × 19,851.01
  4. Step 4: Simplify right side
    9,166.61x = 394,062,666.26
  5. Step 5: Solve for x
    x = 394,062,666.26/9,166.61
  6. Step 6: Final answer
    x = 42,988.94

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