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Finding the Third Proportional to 4,748.34 and 10,308.38

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Solution

The third proportional to 4,748.34 and 10,308.38 is: 22,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.34 : 10,308.38 = 10,308.38 : x
  2. Step 2: Convert to fraction form
    4,748.34/10,308.38 = 10,308.38/x
  3. Step 3: Cross multiply
    4,748.34x = 10,308.38 × 10,308.38
  4. Step 4: Simplify right side
    4,748.34x = 106,262,595.14
  5. Step 5: Solve for x
    x = 106,262,595.14/4,748.34
  6. Step 6: Final answer
    x = 22,378.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.