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Finding the Third Proportional to 32,213.63 and 47,354.63

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Solution

The third proportional to 32,213.63 and 47,354.63 is: 69,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,213.63 : 47,354.63 = 47,354.63 : x
  2. Step 2: Convert to fraction form
    32,213.63/47,354.63 = 47,354.63/x
  3. Step 3: Cross multiply
    32,213.63x = 47,354.63 × 47,354.63
  4. Step 4: Simplify right side
    32,213.63x = 2,242,460,508.89
  5. Step 5: Solve for x
    x = 2,242,460,508.89/32,213.63
  6. Step 6: Final answer
    x = 69,612.18

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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.