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Finding the Third Proportional to 9,851.63 and 15,081.19

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Solution

The third proportional to 9,851.63 and 15,081.19 is: 23,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.63 : 15,081.19 = 15,081.19 : x
  2. Step 2: Convert to fraction form
    9,851.63/15,081.19 = 15,081.19/x
  3. Step 3: Cross multiply
    9,851.63x = 15,081.19 × 15,081.19
  4. Step 4: Simplify right side
    9,851.63x = 227,442,216.41
  5. Step 5: Solve for x
    x = 227,442,216.41/9,851.63
  6. Step 6: Final answer
    x = 23,086.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.