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Finding the Third Proportional to 34,087.50 and 49,612.50

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Solution

The third proportional to 34,087.50 and 49,612.50 is: 72,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,087.50 : 49,612.50 = 49,612.50 : x
  2. Step 2: Convert to fraction form
    34,087.50/49,612.50 = 49,612.50/x
  3. Step 3: Cross multiply
    34,087.50x = 49,612.50 × 49,612.50
  4. Step 4: Simplify right side
    34,087.50x = 2,461,400,156.25
  5. Step 5: Solve for x
    x = 2,461,400,156.25/34,087.50
  6. Step 6: Final answer
    x = 72,208.29

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.