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Finding the Third Proportional to 32,184.38 and 47,124.56

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Solution

The third proportional to 32,184.38 and 47,124.56 is: 69,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.38 : 47,124.56 = 47,124.56 : x
  2. Step 2: Convert to fraction form
    32,184.38/47,124.56 = 47,124.56/x
  3. Step 3: Cross multiply
    32,184.38x = 47,124.56 × 47,124.56
  4. Step 4: Simplify right side
    32,184.38x = 2,220,724,390.82
  5. Step 5: Solve for x
    x = 2,220,724,390.82/32,184.38
  6. Step 6: Final answer
    x = 69,000.08

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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.