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Finding the Third Proportional to 19,356 and 28,958

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Solution

The third proportional to 19,356 and 28,958 is: 43,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,356 : 28,958 = 28,958 : x
  2. Step 2: Convert to fraction form
    19,356/28,958 = 28,958/x
  3. Step 3: Cross multiply
    19,356x = 28,958 × 28,958
  4. Step 4: Simplify right side
    19,356x = 838,565,764
  5. Step 5: Solve for x
    x = 838,565,764/19,356
  6. Step 6: Final answer
    x = 43,323.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.