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Finding the Third Proportional to 30,694.50 and 45,031.50

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Solution

The third proportional to 30,694.50 and 45,031.50 is: 66,065.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694.50 : 45,031.50 = 45,031.50 : x
  2. Step 2: Convert to fraction form
    30,694.50/45,031.50 = 45,031.50/x
  3. Step 3: Cross multiply
    30,694.50x = 45,031.50 × 45,031.50
  4. Step 4: Simplify right side
    30,694.50x = 2,027,835,992.25
  5. Step 5: Solve for x
    x = 2,027,835,992.25/30,694.50
  6. Step 6: Final answer
    x = 66,065.13

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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.