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Finding the Third Proportional to 46,446 and 69,774

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Solution

The third proportional to 46,446 and 69,774 is: 104,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,446 : 69,774 = 69,774 : x
  2. Step 2: Convert to fraction form
    46,446/69,774 = 69,774/x
  3. Step 3: Cross multiply
    46,446x = 69,774 × 69,774
  4. Step 4: Simplify right side
    46,446x = 4,868,411,076
  5. Step 5: Solve for x
    x = 4,868,411,076/46,446
  6. Step 6: Final answer
    x = 104,818.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.