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Finding the Third Proportional to 4,792.61 and 7,356.45

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Solution

The third proportional to 4,792.61 and 7,356.45 is: 11,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.61 : 7,356.45 = 7,356.45 : x
  2. Step 2: Convert to fraction form
    4,792.61/7,356.45 = 7,356.45/x
  3. Step 3: Cross multiply
    4,792.61x = 7,356.45 × 7,356.45
  4. Step 4: Simplify right side
    4,792.61x = 54,117,287.64
  5. Step 5: Solve for x
    x = 54,117,287.64/4,792.61
  6. Step 6: Final answer
    x = 11,291.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.