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Finding the Third Proportional to 4,597.31 and 9,923.63

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Solution

The third proportional to 4,597.31 and 9,923.63 is: 21,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.31 : 9,923.63 = 9,923.63 : x
  2. Step 2: Convert to fraction form
    4,597.31/9,923.63 = 9,923.63/x
  3. Step 3: Cross multiply
    4,597.31x = 9,923.63 × 9,923.63
  4. Step 4: Simplify right side
    4,597.31x = 98,478,333.14
  5. Step 5: Solve for x
    x = 98,478,333.14/4,597.31
  6. Step 6: Final answer
    x = 21,420.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.