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Finding the Third Proportional to 3,237.19 and 5,505.19

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Solution

The third proportional to 3,237.19 and 5,505.19 is: 9,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.19 : 5,505.19 = 5,505.19 : x
  2. Step 2: Convert to fraction form
    3,237.19/5,505.19 = 5,505.19/x
  3. Step 3: Cross multiply
    3,237.19x = 5,505.19 × 5,505.19
  4. Step 4: Simplify right side
    3,237.19x = 30,307,089.41
  5. Step 5: Solve for x
    x = 30,307,089.41/3,237.19
  6. Step 6: Final answer
    x = 9,362.17

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.