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Finding the Third Proportional to 32,206.99 and 47,348.93

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Solution

The third proportional to 32,206.99 and 47,348.93 is: 69,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.99 : 47,348.93 = 47,348.93 : x
  2. Step 2: Convert to fraction form
    32,206.99/47,348.93 = 47,348.93/x
  3. Step 3: Cross multiply
    32,206.99x = 47,348.93 × 47,348.93
  4. Step 4: Simplify right side
    32,206.99x = 2,241,921,142.55
  5. Step 5: Solve for x
    x = 2,241,921,142.55/32,206.99
  6. Step 6: Final answer
    x = 69,609.76

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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.