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Finding the Third Proportional to 15,170 and 23,746

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Solution

The third proportional to 15,170 and 23,746 is: 37,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,170 : 23,746 = 23,746 : x
  2. Step 2: Convert to fraction form
    15,170/23,746 = 23,746/x
  3. Step 3: Cross multiply
    15,170x = 23,746 × 23,746
  4. Step 4: Simplify right side
    15,170x = 563,872,516
  5. Step 5: Solve for x
    x = 563,872,516/15,170
  6. Step 6: Final answer
    x = 37,170.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.