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Finding the Third Proportional to 5,347.90 and 11,703.87

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Solution

The third proportional to 5,347.90 and 11,703.87 is: 25,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.90 : 11,703.87 = 11,703.87 : x
  2. Step 2: Convert to fraction form
    5,347.90/11,703.87 = 11,703.87/x
  3. Step 3: Cross multiply
    5,347.90x = 11,703.87 × 11,703.87
  4. Step 4: Simplify right side
    5,347.90x = 136,980,507.14
  5. Step 5: Solve for x
    x = 136,980,507.14/5,347.90
  6. Step 6: Final answer
    x = 25,613.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.