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Finding the Third Proportional to 15,777 and 26,293.50

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Solution

The third proportional to 15,777 and 26,293.50 is: 43,820.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777 : 26,293.50 = 26,293.50 : x
  2. Step 2: Convert to fraction form
    15,777/26,293.50 = 26,293.50/x
  3. Step 3: Cross multiply
    15,777x = 26,293.50 × 26,293.50
  4. Step 4: Simplify right side
    15,777x = 691,348,142.25
  5. Step 5: Solve for x
    x = 691,348,142.25/15,777
  6. Step 6: Final answer
    x = 43,820.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.