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Finding the Third Proportional to 4,226.63 and 4,695.75

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Solution

The third proportional to 4,226.63 and 4,695.75 is: 5,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.63 : 4,695.75 = 4,695.75 : x
  2. Step 2: Convert to fraction form
    4,226.63/4,695.75 = 4,695.75/x
  3. Step 3: Cross multiply
    4,226.63x = 4,695.75 × 4,695.75
  4. Step 4: Simplify right side
    4,226.63x = 22,050,068.06
  5. Step 5: Solve for x
    x = 22,050,068.06/4,226.63
  6. Step 6: Final answer
    x = 5,216.94

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.