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Finding the Third Proportional to 46,451 and 69,781.50

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Solution

The third proportional to 46,451 and 69,781.50 is: 104,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,451 : 69,781.50 = 69,781.50 : x
  2. Step 2: Convert to fraction form
    46,451/69,781.50 = 69,781.50/x
  3. Step 3: Cross multiply
    46,451x = 69,781.50 × 69,781.50
  4. Step 4: Simplify right side
    46,451x = 4,869,457,742.25
  5. Step 5: Solve for x
    x = 4,869,457,742.25/46,451
  6. Step 6: Final answer
    x = 104,829.99

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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.