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Finding the Third Proportional to 15,324 and 24,456

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Solution

The third proportional to 15,324 and 24,456 is: 39,030.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,324 : 24,456 = 24,456 : x
  2. Step 2: Convert to fraction form
    15,324/24,456 = 24,456/x
  3. Step 3: Cross multiply
    15,324x = 24,456 × 24,456
  4. Step 4: Simplify right side
    15,324x = 598,095,936
  5. Step 5: Solve for x
    x = 598,095,936/15,324
  6. Step 6: Final answer
    x = 39,030.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.