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Finding the Third Proportional to 40,720.50 and 89,613

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Solution

The third proportional to 40,720.50 and 89,613 is: 197,210.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,720.50 : 89,613 = 89,613 : x
  2. Step 2: Convert to fraction form
    40,720.50/89,613 = 89,613/x
  3. Step 3: Cross multiply
    40,720.50x = 89,613 × 89,613
  4. Step 4: Simplify right side
    40,720.50x = 8,030,489,769
  5. Step 5: Solve for x
    x = 8,030,489,769/40,720.50
  6. Step 6: Final answer
    x = 197,210.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.