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Finding the Third Proportional to 26,484 and 56,654

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Solution

The third proportional to 26,484 and 56,654 is: 121,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,484 : 56,654 = 56,654 : x
  2. Step 2: Convert to fraction form
    26,484/56,654 = 56,654/x
  3. Step 3: Cross multiply
    26,484x = 56,654 × 56,654
  4. Step 4: Simplify right side
    26,484x = 3,209,675,716
  5. Step 5: Solve for x
    x = 3,209,675,716/26,484
  6. Step 6: Final answer
    x = 121,193.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.