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Finding the Third Proportional to 34,080.75 and 52,312.50

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Solution

The third proportional to 34,080.75 and 52,312.50 is: 80,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,080.75 : 52,312.50 = 52,312.50 : x
  2. Step 2: Convert to fraction form
    34,080.75/52,312.50 = 52,312.50/x
  3. Step 3: Cross multiply
    34,080.75x = 52,312.50 × 52,312.50
  4. Step 4: Simplify right side
    34,080.75x = 2,736,597,656.25
  5. Step 5: Solve for x
    x = 2,736,597,656.25/34,080.75
  6. Step 6: Final answer
    x = 80,297.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.