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Finding the Third Proportional to 1,505.67 and 2,329.17

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Solution

The third proportional to 1,505.67 and 2,329.17 is: 3,603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.67 : 2,329.17 = 2,329.17 : x
  2. Step 2: Convert to fraction form
    1,505.67/2,329.17 = 2,329.17/x
  3. Step 3: Cross multiply
    1,505.67x = 2,329.17 × 2,329.17
  4. Step 4: Simplify right side
    1,505.67x = 5,425,041.62
  5. Step 5: Solve for x
    x = 5,425,041.62/1,505.67
  6. Step 6: Final answer
    x = 3,603.07

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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.