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Finding the Third Proportional to 15,282 and 23,024.81

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Solution

The third proportional to 15,282 and 23,024.81 is: 34,690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,282 : 23,024.81 = 23,024.81 : x
  2. Step 2: Convert to fraction form
    15,282/23,024.81 = 23,024.81/x
  3. Step 3: Cross multiply
    15,282x = 23,024.81 × 23,024.81
  4. Step 4: Simplify right side
    15,282x = 530,141,990.66
  5. Step 5: Solve for x
    x = 530,141,990.66/15,282
  6. Step 6: Final answer
    x = 34,690.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.