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Finding the Third Proportional to 32,616 and 47,967

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Solution

The third proportional to 32,616 and 47,967 is: 70,543.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,616 : 47,967 = 47,967 : x
  2. Step 2: Convert to fraction form
    32,616/47,967 = 47,967/x
  3. Step 3: Cross multiply
    32,616x = 47,967 × 47,967
  4. Step 4: Simplify right side
    32,616x = 2,300,833,089
  5. Step 5: Solve for x
    x = 2,300,833,089/32,616
  6. Step 6: Final answer
    x = 70,543.08

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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.