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Finding the Third Proportional to 47,477.50 and 104,013

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Solution

The third proportional to 47,477.50 and 104,013 is: 227,870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,477.50 : 104,013 = 104,013 : x
  2. Step 2: Convert to fraction form
    47,477.50/104,013 = 104,013/x
  3. Step 3: Cross multiply
    47,477.50x = 104,013 × 104,013
  4. Step 4: Simplify right side
    47,477.50x = 10,818,704,169
  5. Step 5: Solve for x
    x = 10,818,704,169/47,477.50
  6. Step 6: Final answer
    x = 227,870.13

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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.