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Finding the Third Proportional to 33,308 and 72,490

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Solution

The third proportional to 33,308 and 72,490 is: 157,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,308 : 72,490 = 72,490 : x
  2. Step 2: Convert to fraction form
    33,308/72,490 = 72,490/x
  3. Step 3: Cross multiply
    33,308x = 72,490 × 72,490
  4. Step 4: Simplify right side
    33,308x = 5,254,800,100
  5. Step 5: Solve for x
    x = 5,254,800,100/33,308
  6. Step 6: Final answer
    x = 157,763.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.