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Finding the Third Proportional to 32,089.50 and 69,710.63

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Solution

The third proportional to 32,089.50 and 69,710.63 is: 151,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,089.50 : 69,710.63 = 69,710.63 : x
  2. Step 2: Convert to fraction form
    32,089.50/69,710.63 = 69,710.63/x
  3. Step 3: Cross multiply
    32,089.50x = 69,710.63 × 69,710.63
  4. Step 4: Simplify right side
    32,089.50x = 4,859,571,237.89
  5. Step 5: Solve for x
    x = 4,859,571,237.89/32,089.50
  6. Step 6: Final answer
    x = 151,438.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.