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Finding the Third Proportional to 27,421 and 56,994

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Solution

The third proportional to 27,421 and 56,994 is: 118,460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,421 : 56,994 = 56,994 : x
  2. Step 2: Convert to fraction form
    27,421/56,994 = 56,994/x
  3. Step 3: Cross multiply
    27,421x = 56,994 × 56,994
  4. Step 4: Simplify right side
    27,421x = 3,248,316,036
  5. Step 5: Solve for x
    x = 3,248,316,036/27,421
  6. Step 6: Final answer
    x = 118,460.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.