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Finding the Third Proportional to 3,140.16 and 6,603.47

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Solution

The third proportional to 3,140.16 and 6,603.47 is: 13,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.16 : 6,603.47 = 6,603.47 : x
  2. Step 2: Convert to fraction form
    3,140.16/6,603.47 = 6,603.47/x
  3. Step 3: Cross multiply
    3,140.16x = 6,603.47 × 6,603.47
  4. Step 4: Simplify right side
    3,140.16x = 43,605,799.53
  5. Step 5: Solve for x
    x = 43,605,799.53/3,140.16
  6. Step 6: Final answer
    x = 13,886.51

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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.