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Finding the Third Proportional to 3,156.38 and 4,715.06

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Solution

The third proportional to 3,156.38 and 4,715.06 is: 7,043.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.38 : 4,715.06 = 4,715.06 : x
  2. Step 2: Convert to fraction form
    3,156.38/4,715.06 = 4,715.06/x
  3. Step 3: Cross multiply
    3,156.38x = 4,715.06 × 4,715.06
  4. Step 4: Simplify right side
    3,156.38x = 22,231,814.38
  5. Step 5: Solve for x
    x = 22,231,814.38/3,156.38
  6. Step 6: Final answer
    x = 7,043.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.