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Finding the Third Proportional to 3,103.95 and 6,807.80

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Solution

The third proportional to 3,103.95 and 6,807.80 is: 14,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.95 : 6,807.80 = 6,807.80 : x
  2. Step 2: Convert to fraction form
    3,103.95/6,807.80 = 6,807.80/x
  3. Step 3: Cross multiply
    3,103.95x = 6,807.80 × 6,807.80
  4. Step 4: Simplify right side
    3,103.95x = 46,346,098.29
  5. Step 5: Solve for x
    x = 46,346,098.29/3,103.95
  6. Step 6: Final answer
    x = 14,931.35

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