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Finding the Third Proportional to 14,448.12 and 22,670.55

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Solution

The third proportional to 14,448.12 and 22,670.55 is: 35,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448.12 : 22,670.55 = 22,670.55 : x
  2. Step 2: Convert to fraction form
    14,448.12/22,670.55 = 22,670.55/x
  3. Step 3: Cross multiply
    14,448.12x = 22,670.55 × 22,670.55
  4. Step 4: Simplify right side
    14,448.12x = 513,953,717.75
  5. Step 5: Solve for x
    x = 513,953,717.75/14,448.12
  6. Step 6: Final answer
    x = 35,572.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.