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Finding the Third Proportional to 26,014 and 56,984

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Solution

The third proportional to 26,014 and 56,984 is: 124,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,014 : 56,984 = 56,984 : x
  2. Step 2: Convert to fraction form
    26,014/56,984 = 56,984/x
  3. Step 3: Cross multiply
    26,014x = 56,984 × 56,984
  4. Step 4: Simplify right side
    26,014x = 3,247,176,256
  5. Step 5: Solve for x
    x = 3,247,176,256/26,014
  6. Step 6: Final answer
    x = 124,824.18

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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.