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Finding the Third Proportional to 3,140.13 and 6,603.38

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Solution

The third proportional to 3,140.13 and 6,603.38 is: 13,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.13 : 6,603.38 = 6,603.38 : x
  2. Step 2: Convert to fraction form
    3,140.13/6,603.38 = 6,603.38/x
  3. Step 3: Cross multiply
    3,140.13x = 6,603.38 × 6,603.38
  4. Step 4: Simplify right side
    3,140.13x = 43,604,561.39
  5. Step 5: Solve for x
    x = 43,604,561.39/3,140.13
  6. Step 6: Final answer
    x = 13,886.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.