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Finding the Third Proportional to 14,784 and 31,236

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Solution

The third proportional to 14,784 and 31,236 is: 65,996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784 : 31,236 = 31,236 : x
  2. Step 2: Convert to fraction form
    14,784/31,236 = 31,236/x
  3. Step 3: Cross multiply
    14,784x = 31,236 × 31,236
  4. Step 4: Simplify right side
    14,784x = 975,687,696
  5. Step 5: Solve for x
    x = 975,687,696/14,784
  6. Step 6: Final answer
    x = 65,996.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.