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Finding the Third Proportional to 10,137 and 14,569.50

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Solution

The third proportional to 10,137 and 14,569.50 is: 20,940.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137 : 14,569.50 = 14,569.50 : x
  2. Step 2: Convert to fraction form
    10,137/14,569.50 = 14,569.50/x
  3. Step 3: Cross multiply
    10,137x = 14,569.50 × 14,569.50
  4. Step 4: Simplify right side
    10,137x = 212,270,330.25
  5. Step 5: Solve for x
    x = 212,270,330.25/10,137
  6. Step 6: Final answer
    x = 20,940.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.