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Finding the Third Proportional to 5,748.47 and 8,792.30

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Solution

The third proportional to 5,748.47 and 8,792.30 is: 13,447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.47 : 8,792.30 = 8,792.30 : x
  2. Step 2: Convert to fraction form
    5,748.47/8,792.30 = 8,792.30/x
  3. Step 3: Cross multiply
    5,748.47x = 8,792.30 × 8,792.30
  4. Step 4: Simplify right side
    5,748.47x = 77,304,484.34
  5. Step 5: Solve for x
    x = 77,304,484.34/5,748.47
  6. Step 6: Final answer
    x = 13,447.84

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