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Finding the Third Proportional to 1,357.13 and 2,045.81

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Solution

The third proportional to 1,357.13 and 2,045.81 is: 3,083.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.13 : 2,045.81 = 2,045.81 : x
  2. Step 2: Convert to fraction form
    1,357.13/2,045.81 = 2,045.81/x
  3. Step 3: Cross multiply
    1,357.13x = 2,045.81 × 2,045.81
  4. Step 4: Simplify right side
    1,357.13x = 4,185,348.79
  5. Step 5: Solve for x
    x = 4,185,348.79/1,357.13
  6. Step 6: Final answer
    x = 3,083.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.