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Finding the Third Proportional to 27,130.25 and 56,339.50

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Solution

The third proportional to 27,130.25 and 56,339.50 is: 116,996.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,130.25 : 56,339.50 = 56,339.50 : x
  2. Step 2: Convert to fraction form
    27,130.25/56,339.50 = 56,339.50/x
  3. Step 3: Cross multiply
    27,130.25x = 56,339.50 × 56,339.50
  4. Step 4: Simplify right side
    27,130.25x = 3,174,139,260.25
  5. Step 5: Solve for x
    x = 3,174,139,260.25/27,130.25
  6. Step 6: Final answer
    x = 116,996.31

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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.