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Finding the Third Proportional to 32,853.94 and 47,071.13

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Solution

The third proportional to 32,853.94 and 47,071.13 is: 67,440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.94 : 47,071.13 = 47,071.13 : x
  2. Step 2: Convert to fraction form
    32,853.94/47,071.13 = 47,071.13/x
  3. Step 3: Cross multiply
    32,853.94x = 47,071.13 × 47,071.13
  4. Step 4: Simplify right side
    32,853.94x = 2,215,690,808.77
  5. Step 5: Solve for x
    x = 2,215,690,808.77/32,853.94
  6. Step 6: Final answer
    x = 67,440.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.