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Finding the Third Proportional to 47,572 and 98,024

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Solution

The third proportional to 47,572 and 98,024 is: 201,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,572 : 98,024 = 98,024 : x
  2. Step 2: Convert to fraction form
    47,572/98,024 = 98,024/x
  3. Step 3: Cross multiply
    47,572x = 98,024 × 98,024
  4. Step 4: Simplify right side
    47,572x = 9,608,704,576
  5. Step 5: Solve for x
    x = 9,608,704,576/47,572
  6. Step 6: Final answer
    x = 201,982.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.