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Finding the Third Proportional to 9,260.50 and 19,968.50

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Solution

The third proportional to 9,260.50 and 19,968.50 is: 43,058.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.50 : 19,968.50 = 19,968.50 : x
  2. Step 2: Convert to fraction form
    9,260.50/19,968.50 = 19,968.50/x
  3. Step 3: Cross multiply
    9,260.50x = 19,968.50 × 19,968.50
  4. Step 4: Simplify right side
    9,260.50x = 398,740,992.25
  5. Step 5: Solve for x
    x = 398,740,992.25/9,260.50
  6. Step 6: Final answer
    x = 43,058.26

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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.