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Finding the Third Proportional to 33,345 and 74,070

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Solution

The third proportional to 33,345 and 74,070 is: 164,533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,345 : 74,070 = 74,070 : x
  2. Step 2: Convert to fraction form
    33,345/74,070 = 74,070/x
  3. Step 3: Cross multiply
    33,345x = 74,070 × 74,070
  4. Step 4: Simplify right side
    33,345x = 5,486,364,900
  5. Step 5: Solve for x
    x = 5,486,364,900/33,345
  6. Step 6: Final answer
    x = 164,533.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.