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Finding the Third Proportional to 7,727.20 and 16,547.77

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Solution

The third proportional to 7,727.20 and 16,547.77 is: 35,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.20 : 16,547.77 = 16,547.77 : x
  2. Step 2: Convert to fraction form
    7,727.20/16,547.77 = 16,547.77/x
  3. Step 3: Cross multiply
    7,727.20x = 16,547.77 × 16,547.77
  4. Step 4: Simplify right side
    7,727.20x = 273,828,547.18
  5. Step 5: Solve for x
    x = 273,828,547.18/7,727.20
  6. Step 6: Final answer
    x = 35,436.95

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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.