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Finding the Third Proportional to 30,657.23 and 46,016.86

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Solution

The third proportional to 30,657.23 and 46,016.86 is: 69,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.23 : 46,016.86 = 46,016.86 : x
  2. Step 2: Convert to fraction form
    30,657.23/46,016.86 = 46,016.86/x
  3. Step 3: Cross multiply
    30,657.23x = 46,016.86 × 46,016.86
  4. Step 4: Simplify right side
    30,657.23x = 2,117,551,346.74
  5. Step 5: Solve for x
    x = 2,117,551,346.74/30,657.23
  6. Step 6: Final answer
    x = 69,071.83

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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.