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Finding the Third Proportional to 14,511 and 23,266.50

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Solution

The third proportional to 14,511 and 23,266.50 is: 37,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511 : 23,266.50 = 23,266.50 : x
  2. Step 2: Convert to fraction form
    14,511/23,266.50 = 23,266.50/x
  3. Step 3: Cross multiply
    14,511x = 23,266.50 × 23,266.50
  4. Step 4: Simplify right side
    14,511x = 541,330,022.25
  5. Step 5: Solve for x
    x = 541,330,022.25/14,511
  6. Step 6: Final answer
    x = 37,304.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.