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Finding the Third Proportional to 32,607 and 43,675.75

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Solution

The third proportional to 32,607 and 43,675.75 is: 58,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,607 : 43,675.75 = 43,675.75 : x
  2. Step 2: Convert to fraction form
    32,607/43,675.75 = 43,675.75/x
  3. Step 3: Cross multiply
    32,607x = 43,675.75 × 43,675.75
  4. Step 4: Simplify right side
    32,607x = 1,907,571,138.06
  5. Step 5: Solve for x
    x = 1,907,571,138.06/32,607
  6. Step 6: Final answer
    x = 58,501.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.