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Finding the Third Proportional to 32,616 and 47,997

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Solution

The third proportional to 32,616 and 47,997 is: 70,631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,616 : 47,997 = 47,997 : x
  2. Step 2: Convert to fraction form
    32,616/47,997 = 47,997/x
  3. Step 3: Cross multiply
    32,616x = 47,997 × 47,997
  4. Step 4: Simplify right side
    32,616x = 2,303,712,009
  5. Step 5: Solve for x
    x = 2,303,712,009/32,616
  6. Step 6: Final answer
    x = 70,631.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.