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Finding the Third Proportional to 48,984 and 71,472

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Solution

The third proportional to 48,984 and 71,472 is: 104,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,984 : 71,472 = 71,472 : x
  2. Step 2: Convert to fraction form
    48,984/71,472 = 71,472/x
  3. Step 3: Cross multiply
    48,984x = 71,472 × 71,472
  4. Step 4: Simplify right side
    48,984x = 5,108,246,784
  5. Step 5: Solve for x
    x = 5,108,246,784/48,984
  6. Step 6: Final answer
    x = 104,283.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.