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Finding the Third Proportional to 7,773.47 and 16,788.52

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Solution

The third proportional to 7,773.47 and 16,788.52 is: 36,258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.47 : 16,788.52 = 16,788.52 : x
  2. Step 2: Convert to fraction form
    7,773.47/16,788.52 = 16,788.52/x
  3. Step 3: Cross multiply
    7,773.47x = 16,788.52 × 16,788.52
  4. Step 4: Simplify right side
    7,773.47x = 281,854,256.89
  5. Step 5: Solve for x
    x = 281,854,256.89/7,773.47
  6. Step 6: Final answer
    x = 36,258.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.