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Finding the Third Proportional to 9,507.75 and 13,918.13

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Solution

The third proportional to 9,507.75 and 13,918.13 is: 20,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.75 : 13,918.13 = 13,918.13 : x
  2. Step 2: Convert to fraction form
    9,507.75/13,918.13 = 13,918.13/x
  3. Step 3: Cross multiply
    9,507.75x = 13,918.13 × 13,918.13
  4. Step 4: Simplify right side
    9,507.75x = 193,714,203.52
  5. Step 5: Solve for x
    x = 193,714,203.52/9,507.75
  6. Step 6: Final answer
    x = 20,374.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.