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Finding the Third Proportional to 30,868 and 63,854

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Solution

The third proportional to 30,868 and 63,854 is: 132,089.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,868 : 63,854 = 63,854 : x
  2. Step 2: Convert to fraction form
    30,868/63,854 = 63,854/x
  3. Step 3: Cross multiply
    30,868x = 63,854 × 63,854
  4. Step 4: Simplify right side
    30,868x = 4,077,333,316
  5. Step 5: Solve for x
    x = 4,077,333,316/30,868
  6. Step 6: Final answer
    x = 132,089.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.