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Finding the Third Proportional to 12,087 and 32,485.50

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Solution

The third proportional to 12,087 and 32,485.50 is: 87,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087 : 32,485.50 = 32,485.50 : x
  2. Step 2: Convert to fraction form
    12,087/32,485.50 = 32,485.50/x
  3. Step 3: Cross multiply
    12,087x = 32,485.50 × 32,485.50
  4. Step 4: Simplify right side
    12,087x = 1,055,307,710.25
  5. Step 5: Solve for x
    x = 1,055,307,710.25/12,087
  6. Step 6: Final answer
    x = 87,309.32

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.