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Finding the Third Proportional to 5,666.06 and 9,363.94

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Solution

The third proportional to 5,666.06 and 9,363.94 is: 15,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.06 : 9,363.94 = 9,363.94 : x
  2. Step 2: Convert to fraction form
    5,666.06/9,363.94 = 9,363.94/x
  3. Step 3: Cross multiply
    5,666.06x = 9,363.94 × 9,363.94
  4. Step 4: Simplify right side
    5,666.06x = 87,683,325.50
  5. Step 5: Solve for x
    x = 87,683,325.50/5,666.06
  6. Step 6: Final answer
    x = 15,475.18

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.