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Finding the Third Proportional to 16,827.75 and 35,430.75

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Solution

The third proportional to 16,827.75 and 35,430.75 is: 74,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827.75 : 35,430.75 = 35,430.75 : x
  2. Step 2: Convert to fraction form
    16,827.75/35,430.75 = 35,430.75/x
  3. Step 3: Cross multiply
    16,827.75x = 35,430.75 × 35,430.75
  4. Step 4: Simplify right side
    16,827.75x = 1,255,338,045.56
  5. Step 5: Solve for x
    x = 1,255,338,045.56/16,827.75
  6. Step 6: Final answer
    x = 74,599.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.