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Finding the Third Proportional to 2,349 and 4,963.50

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Solution

The third proportional to 2,349 and 4,963.50 is: 10,488.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349 : 4,963.50 = 4,963.50 : x
  2. Step 2: Convert to fraction form
    2,349/4,963.50 = 4,963.50/x
  3. Step 3: Cross multiply
    2,349x = 4,963.50 × 4,963.50
  4. Step 4: Simplify right side
    2,349x = 24,636,332.25
  5. Step 5: Solve for x
    x = 24,636,332.25/2,349
  6. Step 6: Final answer
    x = 10,488.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.