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Finding the Third Proportional to 6,026 and 12,442

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Solution

The third proportional to 6,026 and 12,442 is: 25,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026 : 12,442 = 12,442 : x
  2. Step 2: Convert to fraction form
    6,026/12,442 = 12,442/x
  3. Step 3: Cross multiply
    6,026x = 12,442 × 12,442
  4. Step 4: Simplify right side
    6,026x = 154,803,364
  5. Step 5: Solve for x
    x = 154,803,364/6,026
  6. Step 6: Final answer
    x = 25,689.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.