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Finding the Third Proportional to 32,929 and 47,056

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Solution

The third proportional to 32,929 and 47,056 is: 67,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,929 : 47,056 = 47,056 : x
  2. Step 2: Convert to fraction form
    32,929/47,056 = 47,056/x
  3. Step 3: Cross multiply
    32,929x = 47,056 × 47,056
  4. Step 4: Simplify right side
    32,929x = 2,214,267,136
  5. Step 5: Solve for x
    x = 2,214,267,136/32,929
  6. Step 6: Final answer
    x = 67,243.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.