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Finding the Third Proportional to 4,740.19 and 5,752.69

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Solution

The third proportional to 4,740.19 and 5,752.69 is: 6,981.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.19 : 5,752.69 = 5,752.69 : x
  2. Step 2: Convert to fraction form
    4,740.19/5,752.69 = 5,752.69/x
  3. Step 3: Cross multiply
    4,740.19x = 5,752.69 × 5,752.69
  4. Step 4: Simplify right side
    4,740.19x = 33,093,413.47
  5. Step 5: Solve for x
    x = 33,093,413.47/4,740.19
  6. Step 6: Final answer
    x = 6,981.46

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.