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Finding the Third Proportional to 9,510.19 and 20,339.44

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Solution

The third proportional to 9,510.19 and 20,339.44 is: 43,499.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.19 : 20,339.44 = 20,339.44 : x
  2. Step 2: Convert to fraction form
    9,510.19/20,339.44 = 20,339.44/x
  3. Step 3: Cross multiply
    9,510.19x = 20,339.44 × 20,339.44
  4. Step 4: Simplify right side
    9,510.19x = 413,692,717.82
  5. Step 5: Solve for x
    x = 413,692,717.82/9,510.19
  6. Step 6: Final answer
    x = 43,499.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.