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Finding the Third Proportional to 8,533.75 and 13,358

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Solution

The third proportional to 8,533.75 and 13,358 is: 20,909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.75 : 13,358 = 13,358 : x
  2. Step 2: Convert to fraction form
    8,533.75/13,358 = 13,358/x
  3. Step 3: Cross multiply
    8,533.75x = 13,358 × 13,358
  4. Step 4: Simplify right side
    8,533.75x = 178,436,164
  5. Step 5: Solve for x
    x = 178,436,164/8,533.75
  6. Step 6: Final answer
    x = 20,909.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.