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Finding the Third Proportional to 14,116 and 31,574

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Solution

The third proportional to 14,116 and 31,574 is: 70,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116 : 31,574 = 31,574 : x
  2. Step 2: Convert to fraction form
    14,116/31,574 = 31,574/x
  3. Step 3: Cross multiply
    14,116x = 31,574 × 31,574
  4. Step 4: Simplify right side
    14,116x = 996,917,476
  5. Step 5: Solve for x
    x = 996,917,476/14,116
  6. Step 6: Final answer
    x = 70,623.23

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.