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Finding the Third Proportional to 14,615.44 and 22,777.45

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Solution

The third proportional to 14,615.44 and 22,777.45 is: 35,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,615.44 : 22,777.45 = 22,777.45 : x
  2. Step 2: Convert to fraction form
    14,615.44/22,777.45 = 22,777.45/x
  3. Step 3: Cross multiply
    14,615.44x = 22,777.45 × 22,777.45
  4. Step 4: Simplify right side
    14,615.44x = 518,812,370.86
  5. Step 5: Solve for x
    x = 518,812,370.86/14,615.44
  6. Step 6: Final answer
    x = 35,497.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.