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Finding the Third Proportional to 1,356.19 and 2,045.06

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Solution

The third proportional to 1,356.19 and 2,045.06 is: 3,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.19 : 2,045.06 = 2,045.06 : x
  2. Step 2: Convert to fraction form
    1,356.19/2,045.06 = 2,045.06/x
  3. Step 3: Cross multiply
    1,356.19x = 2,045.06 × 2,045.06
  4. Step 4: Simplify right side
    1,356.19x = 4,182,280.63
  5. Step 5: Solve for x
    x = 4,182,280.63/1,356.19
  6. Step 6: Final answer
    x = 3,083.85

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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.