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Finding the Third Proportional to 4,863.80 and 10,655.93

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Solution

The third proportional to 4,863.80 and 10,655.93 is: 23,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.80 : 10,655.93 = 10,655.93 : x
  2. Step 2: Convert to fraction form
    4,863.80/10,655.93 = 10,655.93/x
  3. Step 3: Cross multiply
    4,863.80x = 10,655.93 × 10,655.93
  4. Step 4: Simplify right side
    4,863.80x = 113,548,837.50
  5. Step 5: Solve for x
    x = 113,548,837.50/4,863.80
  6. Step 6: Final answer
    x = 23,345.72

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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.