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Finding the Third Proportional to 7,686.77 and 16,810.66

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Solution

The third proportional to 7,686.77 and 16,810.66 is: 36,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.77 : 16,810.66 = 16,810.66 : x
  2. Step 2: Convert to fraction form
    7,686.77/16,810.66 = 16,810.66/x
  3. Step 3: Cross multiply
    7,686.77x = 16,810.66 × 16,810.66
  4. Step 4: Simplify right side
    7,686.77x = 282,598,426.22
  5. Step 5: Solve for x
    x = 282,598,426.22/7,686.77
  6. Step 6: Final answer
    x = 36,764.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.