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Finding the Third Proportional to 15,777.75 and 23,707.13

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Solution

The third proportional to 15,777.75 and 23,707.13 is: 35,621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.75 : 23,707.13 = 23,707.13 : x
  2. Step 2: Convert to fraction form
    15,777.75/23,707.13 = 23,707.13/x
  3. Step 3: Cross multiply
    15,777.75x = 23,707.13 × 23,707.13
  4. Step 4: Simplify right side
    15,777.75x = 562,027,775.77
  5. Step 5: Solve for x
    x = 562,027,775.77/15,777.75
  6. Step 6: Final answer
    x = 35,621.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.