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Finding the Third Proportional to 15,465 and 23,505

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Solution

The third proportional to 15,465 and 23,505 is: 35,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,465 : 23,505 = 23,505 : x
  2. Step 2: Convert to fraction form
    15,465/23,505 = 23,505/x
  3. Step 3: Cross multiply
    15,465x = 23,505 × 23,505
  4. Step 4: Simplify right side
    15,465x = 552,485,025
  5. Step 5: Solve for x
    x = 552,485,025/15,465
  6. Step 6: Final answer
    x = 35,724.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.