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Finding the Third Proportional to 10,466.09 and 24,686.33

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Solution

The third proportional to 10,466.09 and 24,686.33 is: 58,227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.09 : 24,686.33 = 24,686.33 : x
  2. Step 2: Convert to fraction form
    10,466.09/24,686.33 = 24,686.33/x
  3. Step 3: Cross multiply
    10,466.09x = 24,686.33 × 24,686.33
  4. Step 4: Simplify right side
    10,466.09x = 609,414,989.16
  5. Step 5: Solve for x
    x = 609,414,989.16/10,466.09
  6. Step 6: Final answer
    x = 58,227.59

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.