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Finding the Third Proportional to 24,012 and 32,130

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Solution

The third proportional to 24,012 and 32,130 is: 42,992.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,012 : 32,130 = 32,130 : x
  2. Step 2: Convert to fraction form
    24,012/32,130 = 32,130/x
  3. Step 3: Cross multiply
    24,012x = 32,130 × 32,130
  4. Step 4: Simplify right side
    24,012x = 1,032,336,900
  5. Step 5: Solve for x
    x = 1,032,336,900/24,012
  6. Step 6: Final answer
    x = 42,992.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.