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Finding the Third Proportional to 47,071.50 and 103,473

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Solution

The third proportional to 47,071.50 and 103,473 is: 227,455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,071.50 : 103,473 = 103,473 : x
  2. Step 2: Convert to fraction form
    47,071.50/103,473 = 103,473/x
  3. Step 3: Cross multiply
    47,071.50x = 103,473 × 103,473
  4. Step 4: Simplify right side
    47,071.50x = 10,706,661,729
  5. Step 5: Solve for x
    x = 10,706,661,729/47,071.50
  6. Step 6: Final answer
    x = 227,455.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.