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Finding the Third Proportional to 32,624.25 and 62,656.50

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Solution

The third proportional to 32,624.25 and 62,656.50 is: 120,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,624.25 : 62,656.50 = 62,656.50 : x
  2. Step 2: Convert to fraction form
    32,624.25/62,656.50 = 62,656.50/x
  3. Step 3: Cross multiply
    32,624.25x = 62,656.50 × 62,656.50
  4. Step 4: Simplify right side
    32,624.25x = 3,925,836,992.25
  5. Step 5: Solve for x
    x = 3,925,836,992.25/32,624.25
  6. Step 6: Final answer
    x = 120,334.93

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.