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Finding the Third Proportional to 12,210.75 and 32,941.69

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Solution

The third proportional to 12,210.75 and 32,941.69 is: 88,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.75 : 32,941.69 = 32,941.69 : x
  2. Step 2: Convert to fraction form
    12,210.75/32,941.69 = 32,941.69/x
  3. Step 3: Cross multiply
    12,210.75x = 32,941.69 × 32,941.69
  4. Step 4: Simplify right side
    12,210.75x = 1,085,154,775.35
  5. Step 5: Solve for x
    x = 1,085,154,775.35/12,210.75
  6. Step 6: Final answer
    x = 88,868.81

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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.