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Finding the Third Proportional to 15,465 and 23,406

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Solution

The third proportional to 15,465 and 23,406 is: 35,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,465 : 23,406 = 23,406 : x
  2. Step 2: Convert to fraction form
    15,465/23,406 = 23,406/x
  3. Step 3: Cross multiply
    15,465x = 23,406 × 23,406
  4. Step 4: Simplify right side
    15,465x = 547,840,836
  5. Step 5: Solve for x
    x = 547,840,836/15,465
  6. Step 6: Final answer
    x = 35,424.56

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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.