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Finding the Third Proportional to 35,065.50 and 75,478.50

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Solution

The third proportional to 35,065.50 and 75,478.50 is: 162,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,065.50 : 75,478.50 = 75,478.50 : x
  2. Step 2: Convert to fraction form
    35,065.50/75,478.50 = 75,478.50/x
  3. Step 3: Cross multiply
    35,065.50x = 75,478.50 × 75,478.50
  4. Step 4: Simplify right side
    35,065.50x = 5,697,003,962.25
  5. Step 5: Solve for x
    x = 5,697,003,962.25/35,065.50
  6. Step 6: Final answer
    x = 162,467.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.