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Finding the Third Proportional to 27,370 and 42,263

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Solution

The third proportional to 27,370 and 42,263 is: 65,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,370 : 42,263 = 42,263 : x
  2. Step 2: Convert to fraction form
    27,370/42,263 = 42,263/x
  3. Step 3: Cross multiply
    27,370x = 42,263 × 42,263
  4. Step 4: Simplify right side
    27,370x = 1,786,161,169
  5. Step 5: Solve for x
    x = 1,786,161,169/27,370
  6. Step 6: Final answer
    x = 65,259.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.