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Finding the Third Proportional to 4,607.72 and 6,916.22

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Solution

The third proportional to 4,607.72 and 6,916.22 is: 10,381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.72 : 6,916.22 = 6,916.22 : x
  2. Step 2: Convert to fraction form
    4,607.72/6,916.22 = 6,916.22/x
  3. Step 3: Cross multiply
    4,607.72x = 6,916.22 × 6,916.22
  4. Step 4: Simplify right side
    4,607.72x = 47,834,081.80
  5. Step 5: Solve for x
    x = 47,834,081.80/4,607.72
  6. Step 6: Final answer
    x = 10,381.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.