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Finding the Third Proportional to 8,277.19 and 16,053.19

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Solution

The third proportional to 8,277.19 and 16,053.19 is: 31,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.19 : 16,053.19 = 16,053.19 : x
  2. Step 2: Convert to fraction form
    8,277.19/16,053.19 = 16,053.19/x
  3. Step 3: Cross multiply
    8,277.19x = 16,053.19 × 16,053.19
  4. Step 4: Simplify right side
    8,277.19x = 257,704,828.91
  5. Step 5: Solve for x
    x = 257,704,828.91/8,277.19
  6. Step 6: Final answer
    x = 31,134.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.