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Finding the Third Proportional to 15,018 and 23,580

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Solution

The third proportional to 15,018 and 23,580 is: 37,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,018 : 23,580 = 23,580 : x
  2. Step 2: Convert to fraction form
    15,018/23,580 = 23,580/x
  3. Step 3: Cross multiply
    15,018x = 23,580 × 23,580
  4. Step 4: Simplify right side
    15,018x = 556,016,400
  5. Step 5: Solve for x
    x = 556,016,400/15,018
  6. Step 6: Final answer
    x = 37,023.33

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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.