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Finding the Third Proportional to 33,484 and 72,148

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Solution

The third proportional to 33,484 and 72,148 is: 155,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,484 : 72,148 = 72,148 : x
  2. Step 2: Convert to fraction form
    33,484/72,148 = 72,148/x
  3. Step 3: Cross multiply
    33,484x = 72,148 × 72,148
  4. Step 4: Simplify right side
    33,484x = 5,205,333,904
  5. Step 5: Solve for x
    x = 5,205,333,904/33,484
  6. Step 6: Final answer
    x = 155,457.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.