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Finding the Third Proportional to 4,930 and 10,641.50

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Solution

The third proportional to 4,930 and 10,641.50 is: 22,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930 : 10,641.50 = 10,641.50 : x
  2. Step 2: Convert to fraction form
    4,930/10,641.50 = 10,641.50/x
  3. Step 3: Cross multiply
    4,930x = 10,641.50 × 10,641.50
  4. Step 4: Simplify right side
    4,930x = 113,241,522.25
  5. Step 5: Solve for x
    x = 113,241,522.25/4,930
  6. Step 6: Final answer
    x = 22,969.88

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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.