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Finding the Third Proportional to 2,999.53 and 7,210.27

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Solution

The third proportional to 2,999.53 and 7,210.27 is: 17,332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.53 : 7,210.27 = 7,210.27 : x
  2. Step 2: Convert to fraction form
    2,999.53/7,210.27 = 7,210.27/x
  3. Step 3: Cross multiply
    2,999.53x = 7,210.27 × 7,210.27
  4. Step 4: Simplify right side
    2,999.53x = 51,987,930.38
  5. Step 5: Solve for x
    x = 51,987,930.38/2,999.53
  6. Step 6: Final answer
    x = 17,332.02

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.