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Finding the Third Proportional to 27,153.83 and 56,194.58

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Solution

The third proportional to 27,153.83 and 56,194.58 is: 116,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,153.83 : 56,194.58 = 56,194.58 : x
  2. Step 2: Convert to fraction form
    27,153.83/56,194.58 = 56,194.58/x
  3. Step 3: Cross multiply
    27,153.83x = 56,194.58 × 56,194.58
  4. Step 4: Simplify right side
    27,153.83x = 3,157,830,885.03
  5. Step 5: Solve for x
    x = 3,157,830,885.03/27,153.83
  6. Step 6: Final answer
    x = 116,294.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.