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Finding the Third Proportional to 25,089 and 33,580.50

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Solution

The third proportional to 25,089 and 33,580.50 is: 44,945.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,089 : 33,580.50 = 33,580.50 : x
  2. Step 2: Convert to fraction form
    25,089/33,580.50 = 33,580.50/x
  3. Step 3: Cross multiply
    25,089x = 33,580.50 × 33,580.50
  4. Step 4: Simplify right side
    25,089x = 1,127,649,980.25
  5. Step 5: Solve for x
    x = 1,127,649,980.25/25,089
  6. Step 6: Final answer
    x = 44,945.99

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.