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Finding the Third Proportional to 14,113.50 and 31,568.25

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Solution

The third proportional to 14,113.50 and 31,568.25 is: 70,610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.50 : 31,568.25 = 31,568.25 : x
  2. Step 2: Convert to fraction form
    14,113.50/31,568.25 = 31,568.25/x
  3. Step 3: Cross multiply
    14,113.50x = 31,568.25 × 31,568.25
  4. Step 4: Simplify right side
    14,113.50x = 996,554,408.06
  5. Step 5: Solve for x
    x = 996,554,408.06/14,113.50
  6. Step 6: Final answer
    x = 70,610.01

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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.