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Finding the Third Proportional to 27,278 and 59,484

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Solution

The third proportional to 27,278 and 59,484 is: 129,714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,278 : 59,484 = 59,484 : x
  2. Step 2: Convert to fraction form
    27,278/59,484 = 59,484/x
  3. Step 3: Cross multiply
    27,278x = 59,484 × 59,484
  4. Step 4: Simplify right side
    27,278x = 3,538,346,256
  5. Step 5: Solve for x
    x = 3,538,346,256/27,278
  6. Step 6: Final answer
    x = 129,714.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.