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Finding the Third Proportional to 8,083.55 and 8,903.67

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Solution

The third proportional to 8,083.55 and 8,903.67 is: 9,807.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.55 : 8,903.67 = 8,903.67 : x
  2. Step 2: Convert to fraction form
    8,083.55/8,903.67 = 8,903.67/x
  3. Step 3: Cross multiply
    8,083.55x = 8,903.67 × 8,903.67
  4. Step 4: Simplify right side
    8,083.55x = 79,275,372.86
  5. Step 5: Solve for x
    x = 79,275,372.86/8,083.55
  6. Step 6: Final answer
    x = 9,807.00

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.