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Finding the Third Proportional to 16,130 and 23,619

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Solution

The third proportional to 16,130 and 23,619 is: 34,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,130 : 23,619 = 23,619 : x
  2. Step 2: Convert to fraction form
    16,130/23,619 = 23,619/x
  3. Step 3: Cross multiply
    16,130x = 23,619 × 23,619
  4. Step 4: Simplify right side
    16,130x = 557,857,161
  5. Step 5: Solve for x
    x = 557,857,161/16,130
  6. Step 6: Final answer
    x = 34,585.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.