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Finding the Third Proportional to 4,748 and 10,399

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Solution

The third proportional to 4,748 and 10,399 is: 22,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748 : 10,399 = 10,399 : x
  2. Step 2: Convert to fraction form
    4,748/10,399 = 10,399/x
  3. Step 3: Cross multiply
    4,748x = 10,399 × 10,399
  4. Step 4: Simplify right side
    4,748x = 108,139,201
  5. Step 5: Solve for x
    x = 108,139,201/4,748
  6. Step 6: Final answer
    x = 22,775.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.