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Finding the Third Proportional to 30,987.75 and 63,608.25

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Solution

The third proportional to 30,987.75 and 63,608.25 is: 130,568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,987.75 : 63,608.25 = 63,608.25 : x
  2. Step 2: Convert to fraction form
    30,987.75/63,608.25 = 63,608.25/x
  3. Step 3: Cross multiply
    30,987.75x = 63,608.25 × 63,608.25
  4. Step 4: Simplify right side
    30,987.75x = 4,046,009,468.06
  5. Step 5: Solve for x
    x = 4,046,009,468.06/30,987.75
  6. Step 6: Final answer
    x = 130,568.03

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.