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Finding the Third Proportional to 1,497.16 and 3,045.57

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Solution

The third proportional to 1,497.16 and 3,045.57 is: 6,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.16 : 3,045.57 = 3,045.57 : x
  2. Step 2: Convert to fraction form
    1,497.16/3,045.57 = 3,045.57/x
  3. Step 3: Cross multiply
    1,497.16x = 3,045.57 × 3,045.57
  4. Step 4: Simplify right side
    1,497.16x = 9,275,486.63
  5. Step 5: Solve for x
    x = 9,275,486.63/1,497.16
  6. Step 6: Final answer
    x = 6,195.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.