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Finding the Third Proportional to 35,358 and 74,351.25

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Solution

The third proportional to 35,358 and 74,351.25 is: 156,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,358 : 74,351.25 = 74,351.25 : x
  2. Step 2: Convert to fraction form
    35,358/74,351.25 = 74,351.25/x
  3. Step 3: Cross multiply
    35,358x = 74,351.25 × 74,351.25
  4. Step 4: Simplify right side
    35,358x = 5,528,108,376.56
  5. Step 5: Solve for x
    x = 5,528,108,376.56/35,358
  6. Step 6: Final answer
    x = 156,346.75

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