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Finding the Third Proportional to 15,226 and 23,417

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Solution

The third proportional to 15,226 and 23,417 is: 36,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226 : 23,417 = 23,417 : x
  2. Step 2: Convert to fraction form
    15,226/23,417 = 23,417/x
  3. Step 3: Cross multiply
    15,226x = 23,417 × 23,417
  4. Step 4: Simplify right side
    15,226x = 548,355,889
  5. Step 5: Solve for x
    x = 548,355,889/15,226
  6. Step 6: Final answer
    x = 36,014.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.