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Finding the Third Proportional to 27,946 and 56,702

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Solution

The third proportional to 27,946 and 56,702 is: 115,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,946 : 56,702 = 56,702 : x
  2. Step 2: Convert to fraction form
    27,946/56,702 = 56,702/x
  3. Step 3: Cross multiply
    27,946x = 56,702 × 56,702
  4. Step 4: Simplify right side
    27,946x = 3,215,116,804
  5. Step 5: Solve for x
    x = 3,215,116,804/27,946
  6. Step 6: Final answer
    x = 115,047.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.