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Finding the Third Proportional to 16,430 and 24,060.75

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Solution

The third proportional to 16,430 and 24,060.75 is: 35,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430 : 24,060.75 = 24,060.75 : x
  2. Step 2: Convert to fraction form
    16,430/24,060.75 = 24,060.75/x
  3. Step 3: Cross multiply
    16,430x = 24,060.75 × 24,060.75
  4. Step 4: Simplify right side
    16,430x = 578,919,690.56
  5. Step 5: Solve for x
    x = 578,919,690.56/16,430
  6. Step 6: Final answer
    x = 35,235.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.