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Finding the Third Proportional to 2,068.13 and 4,303.31

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Solution

The third proportional to 2,068.13 and 4,303.31 is: 8,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.13 : 4,303.31 = 4,303.31 : x
  2. Step 2: Convert to fraction form
    2,068.13/4,303.31 = 4,303.31/x
  3. Step 3: Cross multiply
    2,068.13x = 4,303.31 × 4,303.31
  4. Step 4: Simplify right side
    2,068.13x = 18,518,498.47
  5. Step 5: Solve for x
    x = 18,518,498.47/2,068.13
  6. Step 6: Final answer
    x = 8,954.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.