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Finding the Third Proportional to 14,025 and 30,541

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Solution

The third proportional to 14,025 and 30,541 is: 66,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,025 : 30,541 = 30,541 : x
  2. Step 2: Convert to fraction form
    14,025/30,541 = 30,541/x
  3. Step 3: Cross multiply
    14,025x = 30,541 × 30,541
  4. Step 4: Simplify right side
    14,025x = 932,752,681
  5. Step 5: Solve for x
    x = 932,752,681/14,025
  6. Step 6: Final answer
    x = 66,506.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.