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Finding the Third Proportional to 2,235.73 and 3,539.53

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Solution

The third proportional to 2,235.73 and 3,539.53 is: 5,603.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.73 : 3,539.53 = 3,539.53 : x
  2. Step 2: Convert to fraction form
    2,235.73/3,539.53 = 3,539.53/x
  3. Step 3: Cross multiply
    2,235.73x = 3,539.53 × 3,539.53
  4. Step 4: Simplify right side
    2,235.73x = 12,528,281.47
  5. Step 5: Solve for x
    x = 12,528,281.47/2,235.73
  6. Step 6: Final answer
    x = 5,603.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.