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Finding the Third Proportional to 4,749.38 and 10,303.88

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Solution

The third proportional to 4,749.38 and 10,303.88 is: 22,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.38 : 10,303.88 = 10,303.88 : x
  2. Step 2: Convert to fraction form
    4,749.38/10,303.88 = 10,303.88/x
  3. Step 3: Cross multiply
    4,749.38x = 10,303.88 × 10,303.88
  4. Step 4: Simplify right side
    4,749.38x = 106,169,840.02
  5. Step 5: Solve for x
    x = 106,169,840.02/4,749.38
  6. Step 6: Final answer
    x = 22,354.49

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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.