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Finding the Third Proportional to 10,357.50 and 24,129

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Solution

The third proportional to 10,357.50 and 24,129 is: 56,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.50 : 24,129 = 24,129 : x
  2. Step 2: Convert to fraction form
    10,357.50/24,129 = 24,129/x
  3. Step 3: Cross multiply
    10,357.50x = 24,129 × 24,129
  4. Step 4: Simplify right side
    10,357.50x = 582,208,641
  5. Step 5: Solve for x
    x = 582,208,641/10,357.50
  6. Step 6: Final answer
    x = 56,211.31

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.