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Finding the Third Proportional to 30,265.50 and 45,429

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Solution

The third proportional to 30,265.50 and 45,429 is: 68,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,265.50 : 45,429 = 45,429 : x
  2. Step 2: Convert to fraction form
    30,265.50/45,429 = 45,429/x
  3. Step 3: Cross multiply
    30,265.50x = 45,429 × 45,429
  4. Step 4: Simplify right side
    30,265.50x = 2,063,794,041
  5. Step 5: Solve for x
    x = 2,063,794,041/30,265.50
  6. Step 6: Final answer
    x = 68,189.66

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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.