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Finding the Third Proportional to 15,512 and 33,776

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Solution

The third proportional to 15,512 and 33,776 is: 73,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,512 : 33,776 = 33,776 : x
  2. Step 2: Convert to fraction form
    15,512/33,776 = 33,776/x
  3. Step 3: Cross multiply
    15,512x = 33,776 × 33,776
  4. Step 4: Simplify right side
    15,512x = 1,140,818,176
  5. Step 5: Solve for x
    x = 1,140,818,176/15,512
  6. Step 6: Final answer
    x = 73,544.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.