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Finding the Third Proportional to 15,077.75 and 32,968.75

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Solution

The third proportional to 15,077.75 and 32,968.75 is: 72,088.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,077.75 : 32,968.75 = 32,968.75 : x
  2. Step 2: Convert to fraction form
    15,077.75/32,968.75 = 32,968.75/x
  3. Step 3: Cross multiply
    15,077.75x = 32,968.75 × 32,968.75
  4. Step 4: Simplify right side
    15,077.75x = 1,086,938,476.56
  5. Step 5: Solve for x
    x = 1,086,938,476.56/15,077.75
  6. Step 6: Final answer
    x = 72,088.90

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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.