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Finding the Third Proportional to 26,128 and 56,000

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Solution

The third proportional to 26,128 and 56,000 is: 120,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,128 : 56,000 = 56,000 : x
  2. Step 2: Convert to fraction form
    26,128/56,000 = 56,000/x
  3. Step 3: Cross multiply
    26,128x = 56,000 × 56,000
  4. Step 4: Simplify right side
    26,128x = 3,136,000,000
  5. Step 5: Solve for x
    x = 3,136,000,000/26,128
  6. Step 6: Final answer
    x = 120,024.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.