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Finding the Third Proportional to 13,838.34 and 29,864.53

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Solution

The third proportional to 13,838.34 and 29,864.53 is: 64,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.34 : 29,864.53 = 29,864.53 : x
  2. Step 2: Convert to fraction form
    13,838.34/29,864.53 = 29,864.53/x
  3. Step 3: Cross multiply
    13,838.34x = 29,864.53 × 29,864.53
  4. Step 4: Simplify right side
    13,838.34x = 891,890,226.78
  5. Step 5: Solve for x
    x = 891,890,226.78/13,838.34
  6. Step 6: Final answer
    x = 64,450.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.