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Finding the Third Proportional to 19,750 and 30,358

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Solution

The third proportional to 19,750 and 30,358 is: 46,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,750 : 30,358 = 30,358 : x
  2. Step 2: Convert to fraction form
    19,750/30,358 = 30,358/x
  3. Step 3: Cross multiply
    19,750x = 30,358 × 30,358
  4. Step 4: Simplify right side
    19,750x = 921,608,164
  5. Step 5: Solve for x
    x = 921,608,164/19,750
  6. Step 6: Final answer
    x = 46,663.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.