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Finding the Third Proportional to 30,706 and 45,870

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Solution

The third proportional to 30,706 and 45,870 is: 68,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706 : 45,870 = 45,870 : x
  2. Step 2: Convert to fraction form
    30,706/45,870 = 45,870/x
  3. Step 3: Cross multiply
    30,706x = 45,870 × 45,870
  4. Step 4: Simplify right side
    30,706x = 2,104,056,900
  5. Step 5: Solve for x
    x = 2,104,056,900/30,706
  6. Step 6: Final answer
    x = 68,522.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.