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Finding the Third Proportional to 2,656.55 and 3,886.10

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Solution

The third proportional to 2,656.55 and 3,886.10 is: 5,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.55 : 3,886.10 = 3,886.10 : x
  2. Step 2: Convert to fraction form
    2,656.55/3,886.10 = 3,886.10/x
  3. Step 3: Cross multiply
    2,656.55x = 3,886.10 × 3,886.10
  4. Step 4: Simplify right side
    2,656.55x = 15,101,785.35
  5. Step 5: Solve for x
    x = 15,101,785.35/2,656.55
  6. Step 6: Final answer
    x = 5,684.74

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.