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Finding the Third Proportional to 26,312 and 56,314

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Solution

The third proportional to 26,312 and 56,314 is: 120,525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,312 : 56,314 = 56,314 : x
  2. Step 2: Convert to fraction form
    26,312/56,314 = 56,314/x
  3. Step 3: Cross multiply
    26,312x = 56,314 × 56,314
  4. Step 4: Simplify right side
    26,312x = 3,171,266,596
  5. Step 5: Solve for x
    x = 3,171,266,596/26,312
  6. Step 6: Final answer
    x = 120,525.49

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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.