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Finding the Third Proportional to 13,915.13 and 19,693.13

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Solution

The third proportional to 13,915.13 and 19,693.13 is: 27,870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.13 : 19,693.13 = 19,693.13 : x
  2. Step 2: Convert to fraction form
    13,915.13/19,693.13 = 19,693.13/x
  3. Step 3: Cross multiply
    13,915.13x = 19,693.13 × 19,693.13
  4. Step 4: Simplify right side
    13,915.13x = 387,819,172.27
  5. Step 5: Solve for x
    x = 387,819,172.27/13,915.13
  6. Step 6: Final answer
    x = 27,870.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.