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Finding the Third Proportional to 9,806.06 and 16,053.19

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Solution

The third proportional to 9,806.06 and 16,053.19 is: 26,280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.06 : 16,053.19 = 16,053.19 : x
  2. Step 2: Convert to fraction form
    9,806.06/16,053.19 = 16,053.19/x
  3. Step 3: Cross multiply
    9,806.06x = 16,053.19 × 16,053.19
  4. Step 4: Simplify right side
    9,806.06x = 257,704,828.91
  5. Step 5: Solve for x
    x = 257,704,828.91/9,806.06
  6. Step 6: Final answer
    x = 26,280.15

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.