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Finding the Third Proportional to 13,623.19 and 32,941.69

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Solution

The third proportional to 13,623.19 and 32,941.69 is: 79,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,623.19 : 32,941.69 = 32,941.69 : x
  2. Step 2: Convert to fraction form
    13,623.19/32,941.69 = 32,941.69/x
  3. Step 3: Cross multiply
    13,623.19x = 32,941.69 × 32,941.69
  4. Step 4: Simplify right side
    13,623.19x = 1,085,154,775.35
  5. Step 5: Solve for x
    x = 1,085,154,775.35/13,623.19
  6. Step 6: Final answer
    x = 79,654.98

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.