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Finding the Third Proportional to 7,328 and 9,888

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Solution

The third proportional to 7,328 and 9,888 is: 13,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,328 : 9,888 = 9,888 : x
  2. Step 2: Convert to fraction form
    7,328/9,888 = 9,888/x
  3. Step 3: Cross multiply
    7,328x = 9,888 × 9,888
  4. Step 4: Simplify right side
    7,328x = 97,772,544
  5. Step 5: Solve for x
    x = 97,772,544/7,328
  6. Step 6: Final answer
    x = 13,342.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.