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Finding the Third Proportional to 19,953 and 30,362

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Solution

The third proportional to 19,953 and 30,362 is: 46,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,953 : 30,362 = 30,362 : x
  2. Step 2: Convert to fraction form
    19,953/30,362 = 30,362/x
  3. Step 3: Cross multiply
    19,953x = 30,362 × 30,362
  4. Step 4: Simplify right side
    19,953x = 921,851,044
  5. Step 5: Solve for x
    x = 921,851,044/19,953
  6. Step 6: Final answer
    x = 46,201.12

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