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Finding the Third Proportional to 47,480 and 71,090

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Solution

The third proportional to 47,480 and 71,090 is: 106,440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,480 : 71,090 = 71,090 : x
  2. Step 2: Convert to fraction form
    47,480/71,090 = 71,090/x
  3. Step 3: Cross multiply
    47,480x = 71,090 × 71,090
  4. Step 4: Simplify right side
    47,480x = 5,053,788,100
  5. Step 5: Solve for x
    x = 5,053,788,100/47,480
  6. Step 6: Final answer
    x = 106,440.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.