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Finding the Third Proportional to 6,530.84 and 13,904.58

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Solution

The third proportional to 6,530.84 and 13,904.58 is: 29,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.84 : 13,904.58 = 13,904.58 : x
  2. Step 2: Convert to fraction form
    6,530.84/13,904.58 = 13,904.58/x
  3. Step 3: Cross multiply
    6,530.84x = 13,904.58 × 13,904.58
  4. Step 4: Simplify right side
    6,530.84x = 193,337,292.83
  5. Step 5: Solve for x
    x = 193,337,292.83/6,530.84
  6. Step 6: Final answer
    x = 29,603.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.