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Finding the Third Proportional to 32,294.63 and 47,165.63

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Solution

The third proportional to 32,294.63 and 47,165.63 is: 68,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,294.63 : 47,165.63 = 47,165.63 : x
  2. Step 2: Convert to fraction form
    32,294.63/47,165.63 = 47,165.63/x
  3. Step 3: Cross multiply
    32,294.63x = 47,165.63 × 47,165.63
  4. Step 4: Simplify right side
    32,294.63x = 2,224,596,181.64
  5. Step 5: Solve for x
    x = 2,224,596,181.64/32,294.63
  6. Step 6: Final answer
    x = 68,884.41

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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.