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Finding the Third Proportional to 15,354 and 23,474.81

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Solution

The third proportional to 15,354 and 23,474.81 is: 35,890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,354 : 23,474.81 = 23,474.81 : x
  2. Step 2: Convert to fraction form
    15,354/23,474.81 = 23,474.81/x
  3. Step 3: Cross multiply
    15,354x = 23,474.81 × 23,474.81
  4. Step 4: Simplify right side
    15,354x = 551,066,821.91
  5. Step 5: Solve for x
    x = 551,066,821.91/15,354
  6. Step 6: Final answer
    x = 35,890.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.