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Finding the Third Proportional to 30,646.41 and 46,861.03

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Solution

The third proportional to 30,646.41 and 46,861.03 is: 71,654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646.41 : 46,861.03 = 46,861.03 : x
  2. Step 2: Convert to fraction form
    30,646.41/46,861.03 = 46,861.03/x
  3. Step 3: Cross multiply
    30,646.41x = 46,861.03 × 46,861.03
  4. Step 4: Simplify right side
    30,646.41x = 2,195,956,249.81
  5. Step 5: Solve for x
    x = 2,195,956,249.81/30,646.41
  6. Step 6: Final answer
    x = 71,654.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.