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Finding the Third Proportional to 1,075.78 and 1,572.96

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Solution

The third proportional to 1,075.78 and 1,572.96 is: 2,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.78 : 1,572.96 = 1,572.96 : x
  2. Step 2: Convert to fraction form
    1,075.78/1,572.96 = 1,572.96/x
  3. Step 3: Cross multiply
    1,075.78x = 1,572.96 × 1,572.96
  4. Step 4: Simplify right side
    1,075.78x = 2,474,206.11
  5. Step 5: Solve for x
    x = 2,474,206.11/1,075.78
  6. Step 6: Final answer
    x = 2,299.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.