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Finding the Third Proportional to 30,320 and 46,092

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Solution

The third proportional to 30,320 and 46,092 is: 70,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,320 : 46,092 = 46,092 : x
  2. Step 2: Convert to fraction form
    30,320/46,092 = 46,092/x
  3. Step 3: Cross multiply
    30,320x = 46,092 × 46,092
  4. Step 4: Simplify right side
    30,320x = 2,124,472,464
  5. Step 5: Solve for x
    x = 2,124,472,464/30,320
  6. Step 6: Final answer
    x = 70,068.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.