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Finding the Third Proportional to 35,377 and 74,594

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Solution

The third proportional to 35,377 and 74,594 is: 157,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,377 : 74,594 = 74,594 : x
  2. Step 2: Convert to fraction form
    35,377/74,594 = 74,594/x
  3. Step 3: Cross multiply
    35,377x = 74,594 × 74,594
  4. Step 4: Simplify right side
    35,377x = 5,564,264,836
  5. Step 5: Solve for x
    x = 5,564,264,836/35,377
  6. Step 6: Final answer
    x = 157,284.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.