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Finding the Third Proportional to 7,297 and 10,942

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Solution

The third proportional to 7,297 and 10,942 is: 16,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297 : 10,942 = 10,942 : x
  2. Step 2: Convert to fraction form
    7,297/10,942 = 10,942/x
  3. Step 3: Cross multiply
    7,297x = 10,942 × 10,942
  4. Step 4: Simplify right side
    7,297x = 119,727,364
  5. Step 5: Solve for x
    x = 119,727,364/7,297
  6. Step 6: Final answer
    x = 16,407.75

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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.