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Finding the Third Proportional to 9,705 and 15,018

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Solution

The third proportional to 9,705 and 15,018 is: 23,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705 : 15,018 = 15,018 : x
  2. Step 2: Convert to fraction form
    9,705/15,018 = 15,018/x
  3. Step 3: Cross multiply
    9,705x = 15,018 × 15,018
  4. Step 4: Simplify right side
    9,705x = 225,540,324
  5. Step 5: Solve for x
    x = 225,540,324/9,705
  6. Step 6: Final answer
    x = 23,239.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.