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Finding the Third Proportional to 20,980.50 and 45,613

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Solution

The third proportional to 20,980.50 and 45,613 is: 99,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.50 : 45,613 = 45,613 : x
  2. Step 2: Convert to fraction form
    20,980.50/45,613 = 45,613/x
  3. Step 3: Cross multiply
    20,980.50x = 45,613 × 45,613
  4. Step 4: Simplify right side
    20,980.50x = 2,080,545,769
  5. Step 5: Solve for x
    x = 2,080,545,769/20,980.50
  6. Step 6: Final answer
    x = 99,165.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.