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Finding the Third Proportional to 14,568.19 and 31,213.69

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Solution

The third proportional to 14,568.19 and 31,213.69 is: 66,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568.19 : 31,213.69 = 31,213.69 : x
  2. Step 2: Convert to fraction form
    14,568.19/31,213.69 = 31,213.69/x
  3. Step 3: Cross multiply
    14,568.19x = 31,213.69 × 31,213.69
  4. Step 4: Simplify right side
    14,568.19x = 974,294,287.35
  5. Step 5: Solve for x
    x = 974,294,287.35/14,568.19
  6. Step 6: Final answer
    x = 66,878.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.