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Finding the Third Proportional to 35,478 and 74,358

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Solution

The third proportional to 35,478 and 74,358 is: 155,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,478 : 74,358 = 74,358 : x
  2. Step 2: Convert to fraction form
    35,478/74,358 = 74,358/x
  3. Step 3: Cross multiply
    35,478x = 74,358 × 74,358
  4. Step 4: Simplify right side
    35,478x = 5,529,112,164
  5. Step 5: Solve for x
    x = 5,529,112,164/35,478
  6. Step 6: Final answer
    x = 155,846.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.