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Finding the Third Proportional to 10,322 and 15,495

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Solution

The third proportional to 10,322 and 15,495 is: 23,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322 : 15,495 = 15,495 : x
  2. Step 2: Convert to fraction form
    10,322/15,495 = 15,495/x
  3. Step 3: Cross multiply
    10,322x = 15,495 × 15,495
  4. Step 4: Simplify right side
    10,322x = 240,095,025
  5. Step 5: Solve for x
    x = 240,095,025/10,322
  6. Step 6: Final answer
    x = 23,260.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.