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Finding the Third Proportional to 4,833 and 10,599.94

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Solution

The third proportional to 4,833 and 10,599.94 is: 23,248.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833 : 10,599.94 = 10,599.94 : x
  2. Step 2: Convert to fraction form
    4,833/10,599.94 = 10,599.94/x
  3. Step 3: Cross multiply
    4,833x = 10,599.94 × 10,599.94
  4. Step 4: Simplify right side
    4,833x = 112,358,675.00
  5. Step 5: Solve for x
    x = 112,358,675.00/4,833
  6. Step 6: Final answer
    x = 23,248.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.