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Finding the Third Proportional to 4,792.61 and 7,842.45

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Solution

The third proportional to 4,792.61 and 7,842.45 is: 12,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.61 : 7,842.45 = 7,842.45 : x
  2. Step 2: Convert to fraction form
    4,792.61/7,842.45 = 7,842.45/x
  3. Step 3: Cross multiply
    4,792.61x = 7,842.45 × 7,842.45
  4. Step 4: Simplify right side
    4,792.61x = 61,503,948.48
  5. Step 5: Solve for x
    x = 61,503,948.48/4,792.61
  6. Step 6: Final answer
    x = 12,833.09

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.