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Finding the Third Proportional to 14,310 and 31,527

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Solution

The third proportional to 14,310 and 31,527 is: 69,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310 : 31,527 = 31,527 : x
  2. Step 2: Convert to fraction form
    14,310/31,527 = 31,527/x
  3. Step 3: Cross multiply
    14,310x = 31,527 × 31,527
  4. Step 4: Simplify right side
    14,310x = 993,951,729
  5. Step 5: Solve for x
    x = 993,951,729/14,310
  6. Step 6: Final answer
    x = 69,458.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.