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Finding the Third Proportional to 12,150 and 19,319

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Solution

The third proportional to 12,150 and 19,319 is: 30,718.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150 : 19,319 = 19,319 : x
  2. Step 2: Convert to fraction form
    12,150/19,319 = 19,319/x
  3. Step 3: Cross multiply
    12,150x = 19,319 × 19,319
  4. Step 4: Simplify right side
    12,150x = 373,223,761
  5. Step 5: Solve for x
    x = 373,223,761/12,150
  6. Step 6: Final answer
    x = 30,718.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.