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Finding the Third Proportional to 5,232 and 7,438

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Solution

The third proportional to 5,232 and 7,438 is: 10,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232 : 7,438 = 7,438 : x
  2. Step 2: Convert to fraction form
    5,232/7,438 = 7,438/x
  3. Step 3: Cross multiply
    5,232x = 7,438 × 7,438
  4. Step 4: Simplify right side
    5,232x = 55,323,844
  5. Step 5: Solve for x
    x = 55,323,844/5,232
  6. Step 6: Final answer
    x = 10,574.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.