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Finding the Third Proportional to 23,448 and 55,319

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Solution

The third proportional to 23,448 and 55,319 is: 130,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,448 : 55,319 = 55,319 : x
  2. Step 2: Convert to fraction form
    23,448/55,319 = 55,319/x
  3. Step 3: Cross multiply
    23,448x = 55,319 × 55,319
  4. Step 4: Simplify right side
    23,448x = 3,060,191,761
  5. Step 5: Solve for x
    x = 3,060,191,761/23,448
  6. Step 6: Final answer
    x = 130,509.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.