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Finding the Third Proportional to 15,784 and 23,716

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Solution

The third proportional to 15,784 and 23,716 is: 35,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784 : 23,716 = 23,716 : x
  2. Step 2: Convert to fraction form
    15,784/23,716 = 23,716/x
  3. Step 3: Cross multiply
    15,784x = 23,716 × 23,716
  4. Step 4: Simplify right side
    15,784x = 562,448,656
  5. Step 5: Solve for x
    x = 562,448,656/15,784
  6. Step 6: Final answer
    x = 35,634.10

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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.