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Finding the Third Proportional to 24,430 and 36,705.75

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Solution

The third proportional to 24,430 and 36,705.75 is: 55,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,430 : 36,705.75 = 36,705.75 : x
  2. Step 2: Convert to fraction form
    24,430/36,705.75 = 36,705.75/x
  3. Step 3: Cross multiply
    24,430x = 36,705.75 × 36,705.75
  4. Step 4: Simplify right side
    24,430x = 1,347,312,083.06
  5. Step 5: Solve for x
    x = 1,347,312,083.06/24,430
  6. Step 6: Final answer
    x = 55,149.90

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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.