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Finding the Third Proportional to 19,946 and 30,335

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Solution

The third proportional to 19,946 and 30,335 is: 46,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,946 : 30,335 = 30,335 : x
  2. Step 2: Convert to fraction form
    19,946/30,335 = 30,335/x
  3. Step 3: Cross multiply
    19,946x = 30,335 × 30,335
  4. Step 4: Simplify right side
    19,946x = 920,212,225
  5. Step 5: Solve for x
    x = 920,212,225/19,946
  6. Step 6: Final answer
    x = 46,135.18

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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.