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Finding the Third Proportional to 20,089 and 43,701.50

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Solution

The third proportional to 20,089 and 43,701.50 is: 95,068.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,089 : 43,701.50 = 43,701.50 : x
  2. Step 2: Convert to fraction form
    20,089/43,701.50 = 43,701.50/x
  3. Step 3: Cross multiply
    20,089x = 43,701.50 × 43,701.50
  4. Step 4: Simplify right side
    20,089x = 1,909,821,102.25
  5. Step 5: Solve for x
    x = 1,909,821,102.25/20,089
  6. Step 6: Final answer
    x = 95,068.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.