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Finding the Third Proportional to 35,344.50 and 75,592.50

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Solution

The third proportional to 35,344.50 and 75,592.50 is: 161,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,344.50 : 75,592.50 = 75,592.50 : x
  2. Step 2: Convert to fraction form
    35,344.50/75,592.50 = 75,592.50/x
  3. Step 3: Cross multiply
    35,344.50x = 75,592.50 × 75,592.50
  4. Step 4: Simplify right side
    35,344.50x = 5,714,226,056.25
  5. Step 5: Solve for x
    x = 5,714,226,056.25/35,344.50
  6. Step 6: Final answer
    x = 161,672.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.