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Finding the Third Proportional to 7,428 and 10,444

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Solution

The third proportional to 7,428 and 10,444 is: 14,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428 : 10,444 = 10,444 : x
  2. Step 2: Convert to fraction form
    7,428/10,444 = 10,444/x
  3. Step 3: Cross multiply
    7,428x = 10,444 × 10,444
  4. Step 4: Simplify right side
    7,428x = 109,077,136
  5. Step 5: Solve for x
    x = 109,077,136/7,428
  6. Step 6: Final answer
    x = 14,684.59

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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.