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Finding the Third Proportional to 33,428 and 72,310

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Solution

The third proportional to 33,428 and 72,310 is: 156,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,428 : 72,310 = 72,310 : x
  2. Step 2: Convert to fraction form
    33,428/72,310 = 72,310/x
  3. Step 3: Cross multiply
    33,428x = 72,310 × 72,310
  4. Step 4: Simplify right side
    33,428x = 5,228,736,100
  5. Step 5: Solve for x
    x = 5,228,736,100/33,428
  6. Step 6: Final answer
    x = 156,417.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.