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Finding the Third Proportional to 10,219 and 22,352

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Solution

The third proportional to 10,219 and 22,352 is: 48,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219 : 22,352 = 22,352 : x
  2. Step 2: Convert to fraction form
    10,219/22,352 = 22,352/x
  3. Step 3: Cross multiply
    10,219x = 22,352 × 22,352
  4. Step 4: Simplify right side
    10,219x = 499,611,904
  5. Step 5: Solve for x
    x = 499,611,904/10,219
  6. Step 6: Final answer
    x = 48,890.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.