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Finding the Third Proportional to 7,710.19 and 10,241.44

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Solution

The third proportional to 7,710.19 and 10,241.44 is: 13,603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.19 : 10,241.44 = 10,241.44 : x
  2. Step 2: Convert to fraction form
    7,710.19/10,241.44 = 10,241.44/x
  3. Step 3: Cross multiply
    7,710.19x = 10,241.44 × 10,241.44
  4. Step 4: Simplify right side
    7,710.19x = 104,887,042.07
  5. Step 5: Solve for x
    x = 104,887,042.07/7,710.19
  6. Step 6: Final answer
    x = 13,603.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.