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Finding the Third Proportional to 19,535 and 30,294

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Solution

The third proportional to 19,535 and 30,294 is: 46,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,535 : 30,294 = 30,294 : x
  2. Step 2: Convert to fraction form
    19,535/30,294 = 30,294/x
  3. Step 3: Cross multiply
    19,535x = 30,294 × 30,294
  4. Step 4: Simplify right side
    19,535x = 917,726,436
  5. Step 5: Solve for x
    x = 917,726,436/19,535
  6. Step 6: Final answer
    x = 46,978.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.