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Finding the Third Proportional to 28,230.75 and 41,567.06

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Solution

The third proportional to 28,230.75 and 41,567.06 is: 61,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,230.75 : 41,567.06 = 41,567.06 : x
  2. Step 2: Convert to fraction form
    28,230.75/41,567.06 = 41,567.06/x
  3. Step 3: Cross multiply
    28,230.75x = 41,567.06 × 41,567.06
  4. Step 4: Simplify right side
    28,230.75x = 1,727,820,684.88
  5. Step 5: Solve for x
    x = 1,727,820,684.88/28,230.75
  6. Step 6: Final answer
    x = 61,203.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.