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Finding the Third Proportional to 19,973 and 30,566

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Solution

The third proportional to 19,973 and 30,566 is: 46,777.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,973 : 30,566 = 30,566 : x
  2. Step 2: Convert to fraction form
    19,973/30,566 = 30,566/x
  3. Step 3: Cross multiply
    19,973x = 30,566 × 30,566
  4. Step 4: Simplify right side
    19,973x = 934,280,356
  5. Step 5: Solve for x
    x = 934,280,356/19,973
  6. Step 6: Final answer
    x = 46,777.17

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.