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Finding the Third Proportional to 44,613 and 66,925.50

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Solution

The third proportional to 44,613 and 66,925.50 is: 100,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,613 : 66,925.50 = 66,925.50 : x
  2. Step 2: Convert to fraction form
    44,613/66,925.50 = 66,925.50/x
  3. Step 3: Cross multiply
    44,613x = 66,925.50 × 66,925.50
  4. Step 4: Simplify right side
    44,613x = 4,479,022,550.25
  5. Step 5: Solve for x
    x = 4,479,022,550.25/44,613
  6. Step 6: Final answer
    x = 100,397.25

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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.