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Finding the Third Proportional to 7,445 and 10,582

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Solution

The third proportional to 7,445 and 10,582 is: 15,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445 : 10,582 = 10,582 : x
  2. Step 2: Convert to fraction form
    7,445/10,582 = 10,582/x
  3. Step 3: Cross multiply
    7,445x = 10,582 × 10,582
  4. Step 4: Simplify right side
    7,445x = 111,978,724
  5. Step 5: Solve for x
    x = 111,978,724/7,445
  6. Step 6: Final answer
    x = 15,040.80

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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.