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Finding the Third Proportional to 14,022.50 and 30,677.50

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Solution

The third proportional to 14,022.50 and 30,677.50 is: 67,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022.50 : 30,677.50 = 30,677.50 : x
  2. Step 2: Convert to fraction form
    14,022.50/30,677.50 = 30,677.50/x
  3. Step 3: Cross multiply
    14,022.50x = 30,677.50 × 30,677.50
  4. Step 4: Simplify right side
    14,022.50x = 941,109,006.25
  5. Step 5: Solve for x
    x = 941,109,006.25/14,022.50
  6. Step 6: Final answer
    x = 67,114.21

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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.