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Finding the Third Proportional to 2,235.41 and 4,695.79

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Solution

The third proportional to 2,235.41 and 4,695.79 is: 9,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.41 : 4,695.79 = 4,695.79 : x
  2. Step 2: Convert to fraction form
    2,235.41/4,695.79 = 4,695.79/x
  3. Step 3: Cross multiply
    2,235.41x = 4,695.79 × 4,695.79
  4. Step 4: Simplify right side
    2,235.41x = 22,050,398.23
  5. Step 5: Solve for x
    x = 22,050,398.23/2,235.41
  6. Step 6: Final answer
    x = 9,864.14

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.