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Finding the Third Proportional to 13,927.50 and 29,221.50

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Solution

The third proportional to 13,927.50 and 29,221.50 is: 61,310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,927.50 : 29,221.50 = 29,221.50 : x
  2. Step 2: Convert to fraction form
    13,927.50/29,221.50 = 29,221.50/x
  3. Step 3: Cross multiply
    13,927.50x = 29,221.50 × 29,221.50
  4. Step 4: Simplify right side
    13,927.50x = 853,896,062.25
  5. Step 5: Solve for x
    x = 853,896,062.25/13,927.50
  6. Step 6: Final answer
    x = 61,310.07

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.