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Finding the Third Proportional to 2,291.63 and 4,187.81

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Solution

The third proportional to 2,291.63 and 4,187.81 is: 7,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.63 : 4,187.81 = 4,187.81 : x
  2. Step 2: Convert to fraction form
    2,291.63/4,187.81 = 4,187.81/x
  3. Step 3: Cross multiply
    2,291.63x = 4,187.81 × 4,187.81
  4. Step 4: Simplify right side
    2,291.63x = 17,537,773.54
  5. Step 5: Solve for x
    x = 17,537,773.54/2,291.63
  6. Step 6: Final answer
    x = 7,652.99

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.