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Finding the Third Proportional to 567.84 and 1,105.03

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Solution

The third proportional to 567.84 and 1,105.03 is: 2,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.84 : 1,105.03 = 1,105.03 : x
  2. Step 2: Convert to fraction form
    567.84/1,105.03 = 1,105.03/x
  3. Step 3: Cross multiply
    567.84x = 1,105.03 × 1,105.03
  4. Step 4: Simplify right side
    567.84x = 1,221,094.06
  5. Step 5: Solve for x
    x = 1,221,094.06/567.84
  6. Step 6: Final answer
    x = 2,150.41

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.