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Finding the Third Proportional to 27,386 and 56,070

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Solution

The third proportional to 27,386 and 56,070 is: 114,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,386 : 56,070 = 56,070 : x
  2. Step 2: Convert to fraction form
    27,386/56,070 = 56,070/x
  3. Step 3: Cross multiply
    27,386x = 56,070 × 56,070
  4. Step 4: Simplify right side
    27,386x = 3,143,844,900
  5. Step 5: Solve for x
    x = 3,143,844,900/27,386
  6. Step 6: Final answer
    x = 114,797.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.