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Finding the Third Proportional to 30,772 and 47,056

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Solution

The third proportional to 30,772 and 47,056 is: 71,957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772 : 47,056 = 47,056 : x
  2. Step 2: Convert to fraction form
    30,772/47,056 = 47,056/x
  3. Step 3: Cross multiply
    30,772x = 47,056 × 47,056
  4. Step 4: Simplify right side
    30,772x = 2,214,267,136
  5. Step 5: Solve for x
    x = 2,214,267,136/30,772
  6. Step 6: Final answer
    x = 71,957.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.