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Finding the Third Proportional to 27,278 and 40,020

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Solution

The third proportional to 27,278 and 40,020 is: 58,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,278 : 40,020 = 40,020 : x
  2. Step 2: Convert to fraction form
    27,278/40,020 = 40,020/x
  3. Step 3: Cross multiply
    27,278x = 40,020 × 40,020
  4. Step 4: Simplify right side
    27,278x = 1,601,600,400
  5. Step 5: Solve for x
    x = 1,601,600,400/27,278
  6. Step 6: Final answer
    x = 58,714.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.