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Finding the Third Proportional to 28,525 and 65,570.50

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Solution

The third proportional to 28,525 and 65,570.50 is: 150,727.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,525 : 65,570.50 = 65,570.50 : x
  2. Step 2: Convert to fraction form
    28,525/65,570.50 = 65,570.50/x
  3. Step 3: Cross multiply
    28,525x = 65,570.50 × 65,570.50
  4. Step 4: Simplify right side
    28,525x = 4,299,490,470.25
  5. Step 5: Solve for x
    x = 4,299,490,470.25/28,525
  6. Step 6: Final answer
    x = 150,727.10

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.