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Finding the Third Proportional to 30,658.50 and 47,488.50

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Solution

The third proportional to 30,658.50 and 47,488.50 is: 73,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.50 : 47,488.50 = 47,488.50 : x
  2. Step 2: Convert to fraction form
    30,658.50/47,488.50 = 47,488.50/x
  3. Step 3: Cross multiply
    30,658.50x = 47,488.50 × 47,488.50
  4. Step 4: Simplify right side
    30,658.50x = 2,255,157,632.25
  5. Step 5: Solve for x
    x = 2,255,157,632.25/30,658.50
  6. Step 6: Final answer
    x = 73,557.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.