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Finding the Third Proportional to 30,370.50 and 45,603

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Solution

The third proportional to 30,370.50 and 45,603 is: 68,475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,370.50 : 45,603 = 45,603 : x
  2. Step 2: Convert to fraction form
    30,370.50/45,603 = 45,603/x
  3. Step 3: Cross multiply
    30,370.50x = 45,603 × 45,603
  4. Step 4: Simplify right side
    30,370.50x = 2,079,633,609
  5. Step 5: Solve for x
    x = 2,079,633,609/30,370.50
  6. Step 6: Final answer
    x = 68,475.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.