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Finding the Third Proportional to 13,948.88 and 20,307.38

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Solution

The third proportional to 13,948.88 and 20,307.38 is: 29,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,948.88 : 20,307.38 = 20,307.38 : x
  2. Step 2: Convert to fraction form
    13,948.88/20,307.38 = 20,307.38/x
  3. Step 3: Cross multiply
    13,948.88x = 20,307.38 × 20,307.38
  4. Step 4: Simplify right side
    13,948.88x = 412,389,479.39
  5. Step 5: Solve for x
    x = 412,389,479.39/13,948.88
  6. Step 6: Final answer
    x = 29,564.35

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.