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Finding the Third Proportional to 1,045.95 and 1,619.55

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Solution

The third proportional to 1,045.95 and 1,619.55 is: 2,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.95 : 1,619.55 = 1,619.55 : x
  2. Step 2: Convert to fraction form
    1,045.95/1,619.55 = 1,619.55/x
  3. Step 3: Cross multiply
    1,045.95x = 1,619.55 × 1,619.55
  4. Step 4: Simplify right side
    1,045.95x = 2,622,957.39
  5. Step 5: Solve for x
    x = 2,622,957.39/1,045.95
  6. Step 6: Final answer
    x = 2,507.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.