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Finding the Third Proportional to 14,172 and 28,506

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Solution

The third proportional to 14,172 and 28,506 is: 57,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,172 : 28,506 = 28,506 : x
  2. Step 2: Convert to fraction form
    14,172/28,506 = 28,506/x
  3. Step 3: Cross multiply
    14,172x = 28,506 × 28,506
  4. Step 4: Simplify right side
    14,172x = 812,592,036
  5. Step 5: Solve for x
    x = 812,592,036/14,172
  6. Step 6: Final answer
    x = 57,337.85

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.