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Finding the Third Proportional to 30,964 and 45,147

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Solution

The third proportional to 30,964 and 45,147 is: 65,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,964 : 45,147 = 45,147 : x
  2. Step 2: Convert to fraction form
    30,964/45,147 = 45,147/x
  3. Step 3: Cross multiply
    30,964x = 45,147 × 45,147
  4. Step 4: Simplify right side
    30,964x = 2,038,251,609
  5. Step 5: Solve for x
    x = 2,038,251,609/30,964
  6. Step 6: Final answer
    x = 65,826.50

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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.