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Finding the Third Proportional to 30,227.50 and 64,613

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Solution

The third proportional to 30,227.50 and 64,613 is: 138,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,227.50 : 64,613 = 64,613 : x
  2. Step 2: Convert to fraction form
    30,227.50/64,613 = 64,613/x
  3. Step 3: Cross multiply
    30,227.50x = 64,613 × 64,613
  4. Step 4: Simplify right side
    30,227.50x = 4,174,839,769
  5. Step 5: Solve for x
    x = 4,174,839,769/30,227.50
  6. Step 6: Final answer
    x = 138,113.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.