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Finding the Third Proportional to 4,428 and 10,446

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Solution

The third proportional to 4,428 and 10,446 is: 24,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,428 : 10,446 = 10,446 : x
  2. Step 2: Convert to fraction form
    4,428/10,446 = 10,446/x
  3. Step 3: Cross multiply
    4,428x = 10,446 × 10,446
  4. Step 4: Simplify right side
    4,428x = 109,118,916
  5. Step 5: Solve for x
    x = 109,118,916/4,428
  6. Step 6: Final answer
    x = 24,642.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.