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Finding the Third Proportional to 6,076.90 and 8,913.16

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Solution

The third proportional to 6,076.90 and 8,913.16 is: 13,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.90 : 8,913.16 = 8,913.16 : x
  2. Step 2: Convert to fraction form
    6,076.90/8,913.16 = 8,913.16/x
  3. Step 3: Cross multiply
    6,076.90x = 8,913.16 × 8,913.16
  4. Step 4: Simplify right side
    6,076.90x = 79,444,493.61
  5. Step 5: Solve for x
    x = 79,444,493.61/6,076.90
  6. Step 6: Final answer
    x = 13,073.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.