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Finding the Third Proportional to 1,053.19 and 1,605.28

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Solution

The third proportional to 1,053.19 and 1,605.28 is: 2,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.19 : 1,605.28 = 1,605.28 : x
  2. Step 2: Convert to fraction form
    1,053.19/1,605.28 = 1,605.28/x
  3. Step 3: Cross multiply
    1,053.19x = 1,605.28 × 1,605.28
  4. Step 4: Simplify right side
    1,053.19x = 2,576,927.89
  5. Step 5: Solve for x
    x = 2,576,927.89/1,053.19
  6. Step 6: Final answer
    x = 2,446.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.