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Finding the Third Proportional to 27,914.63 and 61,000.59

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Solution

The third proportional to 27,914.63 and 61,000.59 is: 133,301.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,914.63 : 61,000.59 = 61,000.59 : x
  2. Step 2: Convert to fraction form
    27,914.63/61,000.59 = 61,000.59/x
  3. Step 3: Cross multiply
    27,914.63x = 61,000.59 × 61,000.59
  4. Step 4: Simplify right side
    27,914.63x = 3,721,072,437.85
  5. Step 5: Solve for x
    x = 3,721,072,437.85/27,914.63
  6. Step 6: Final answer
    x = 133,301.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.