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Finding the Third Proportional to 26,680.50 and 56,646

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Solution

The third proportional to 26,680.50 and 56,646 is: 120,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,680.50 : 56,646 = 56,646 : x
  2. Step 2: Convert to fraction form
    26,680.50/56,646 = 56,646/x
  3. Step 3: Cross multiply
    26,680.50x = 56,646 × 56,646
  4. Step 4: Simplify right side
    26,680.50x = 3,208,769,316
  5. Step 5: Solve for x
    x = 3,208,769,316/26,680.50
  6. Step 6: Final answer
    x = 120,266.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.