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Finding the Third Proportional to 14,416.50 and 31,566

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Solution

The third proportional to 14,416.50 and 31,566 is: 69,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.50 : 31,566 = 31,566 : x
  2. Step 2: Convert to fraction form
    14,416.50/31,566 = 31,566/x
  3. Step 3: Cross multiply
    14,416.50x = 31,566 × 31,566
  4. Step 4: Simplify right side
    14,416.50x = 996,412,356
  5. Step 5: Solve for x
    x = 996,412,356/14,416.50
  6. Step 6: Final answer
    x = 69,116.11

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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.