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Finding the Third Proportional to 14,181.75 and 29,281.50

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Solution

The third proportional to 14,181.75 and 29,281.50 is: 60,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.75 : 29,281.50 = 29,281.50 : x
  2. Step 2: Convert to fraction form
    14,181.75/29,281.50 = 29,281.50/x
  3. Step 3: Cross multiply
    14,181.75x = 29,281.50 × 29,281.50
  4. Step 4: Simplify right side
    14,181.75x = 857,406,242.25
  5. Step 5: Solve for x
    x = 857,406,242.25/14,181.75
  6. Step 6: Final answer
    x = 60,458.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.