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Finding the Third Proportional to 46,884 and 63,630

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Solution

The third proportional to 46,884 and 63,630 is: 86,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,884 : 63,630 = 63,630 : x
  2. Step 2: Convert to fraction form
    46,884/63,630 = 63,630/x
  3. Step 3: Cross multiply
    46,884x = 63,630 × 63,630
  4. Step 4: Simplify right side
    46,884x = 4,048,776,900
  5. Step 5: Solve for x
    x = 4,048,776,900/46,884
  6. Step 6: Final answer
    x = 86,357.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.