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Finding the Third Proportional to 4,981.50 and 6,735.66

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Solution

The third proportional to 4,981.50 and 6,735.66 is: 9,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.50 : 6,735.66 = 6,735.66 : x
  2. Step 2: Convert to fraction form
    4,981.50/6,735.66 = 6,735.66/x
  3. Step 3: Cross multiply
    4,981.50x = 6,735.66 × 6,735.66
  4. Step 4: Simplify right side
    4,981.50x = 45,369,065.12
  5. Step 5: Solve for x
    x = 45,369,065.12/4,981.50
  6. Step 6: Final answer
    x = 9,107.51

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.