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Finding the Third Proportional to 9,173.25 and 19,784.25

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Solution

The third proportional to 9,173.25 and 19,784.25 is: 42,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173.25 : 19,784.25 = 19,784.25 : x
  2. Step 2: Convert to fraction form
    9,173.25/19,784.25 = 19,784.25/x
  3. Step 3: Cross multiply
    9,173.25x = 19,784.25 × 19,784.25
  4. Step 4: Simplify right side
    9,173.25x = 391,416,548.06
  5. Step 5: Solve for x
    x = 391,416,548.06/9,173.25
  6. Step 6: Final answer
    x = 42,669.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.