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Finding the Third Proportional to 32,207.63 and 47,250

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Solution

The third proportional to 32,207.63 and 47,250 is: 69,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,207.63 : 47,250 = 47,250 : x
  2. Step 2: Convert to fraction form
    32,207.63/47,250 = 47,250/x
  3. Step 3: Cross multiply
    32,207.63x = 47,250 × 47,250
  4. Step 4: Simplify right side
    32,207.63x = 2,232,562,500
  5. Step 5: Solve for x
    x = 2,232,562,500/32,207.63
  6. Step 6: Final answer
    x = 69,317.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.