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Finding the Third Proportional to 4,656.45 and 6,847.72

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Solution

The third proportional to 4,656.45 and 6,847.72 is: 10,070.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.45 : 6,847.72 = 6,847.72 : x
  2. Step 2: Convert to fraction form
    4,656.45/6,847.72 = 6,847.72/x
  3. Step 3: Cross multiply
    4,656.45x = 6,847.72 × 6,847.72
  4. Step 4: Simplify right side
    4,656.45x = 46,891,315.61
  5. Step 5: Solve for x
    x = 46,891,315.61/4,656.45
  6. Step 6: Final answer
    x = 10,070.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.