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Finding the Third Proportional to 9,541.55 and 14,416.73

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Solution

The third proportional to 9,541.55 and 14,416.73 is: 21,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.55 : 14,416.73 = 14,416.73 : x
  2. Step 2: Convert to fraction form
    9,541.55/14,416.73 = 14,416.73/x
  3. Step 3: Cross multiply
    9,541.55x = 14,416.73 × 14,416.73
  4. Step 4: Simplify right side
    9,541.55x = 207,842,230.04
  5. Step 5: Solve for x
    x = 207,842,230.04/9,541.55
  6. Step 6: Final answer
    x = 21,782.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.