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Finding the Third Proportional to 10,046.53 and 21,784.57

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Solution

The third proportional to 10,046.53 and 21,784.57 is: 47,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.53 : 21,784.57 = 21,784.57 : x
  2. Step 2: Convert to fraction form
    10,046.53/21,784.57 = 21,784.57/x
  3. Step 3: Cross multiply
    10,046.53x = 21,784.57 × 21,784.57
  4. Step 4: Simplify right side
    10,046.53x = 474,567,503.70
  5. Step 5: Solve for x
    x = 474,567,503.70/10,046.53
  6. Step 6: Final answer
    x = 47,236.95

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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.