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Finding the Third Proportional to 14,262 and 31,260

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Solution

The third proportional to 14,262 and 31,260 is: 68,516.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262 : 31,260 = 31,260 : x
  2. Step 2: Convert to fraction form
    14,262/31,260 = 31,260/x
  3. Step 3: Cross multiply
    14,262x = 31,260 × 31,260
  4. Step 4: Simplify right side
    14,262x = 977,187,600
  5. Step 5: Solve for x
    x = 977,187,600/14,262
  6. Step 6: Final answer
    x = 68,516.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.