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Finding the Third Proportional to 32,050.88 and 49,756.50

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Solution

The third proportional to 32,050.88 and 49,756.50 is: 77,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,050.88 : 49,756.50 = 49,756.50 : x
  2. Step 2: Convert to fraction form
    32,050.88/49,756.50 = 49,756.50/x
  3. Step 3: Cross multiply
    32,050.88x = 49,756.50 × 49,756.50
  4. Step 4: Simplify right side
    32,050.88x = 2,475,709,292.25
  5. Step 5: Solve for x
    x = 2,475,709,292.25/32,050.88
  6. Step 6: Final answer
    x = 77,243.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.