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Finding the Third Proportional to 7,056 and 9,926

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Solution

The third proportional to 7,056 and 9,926 is: 13,963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056 : 9,926 = 9,926 : x
  2. Step 2: Convert to fraction form
    7,056/9,926 = 9,926/x
  3. Step 3: Cross multiply
    7,056x = 9,926 × 9,926
  4. Step 4: Simplify right side
    7,056x = 98,525,476
  5. Step 5: Solve for x
    x = 98,525,476/7,056
  6. Step 6: Final answer
    x = 13,963.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.