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Finding the Third Proportional to 47,656 and 72,508

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Solution

The third proportional to 47,656 and 72,508 is: 110,320.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,656 : 72,508 = 72,508 : x
  2. Step 2: Convert to fraction form
    47,656/72,508 = 72,508/x
  3. Step 3: Cross multiply
    47,656x = 72,508 × 72,508
  4. Step 4: Simplify right side
    47,656x = 5,257,410,064
  5. Step 5: Solve for x
    x = 5,257,410,064/47,656
  6. Step 6: Final answer
    x = 110,320.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.