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Finding the Third Proportional to 14,557.22 and 32,394.94

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Solution

The third proportional to 14,557.22 and 32,394.94 is: 72,090.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.22 : 32,394.94 = 32,394.94 : x
  2. Step 2: Convert to fraction form
    14,557.22/32,394.94 = 32,394.94/x
  3. Step 3: Cross multiply
    14,557.22x = 32,394.94 × 32,394.94
  4. Step 4: Simplify right side
    14,557.22x = 1,049,431,975.63
  5. Step 5: Solve for x
    x = 1,049,431,975.63/14,557.22
  6. Step 6: Final answer
    x = 72,090.14

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.