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Finding the Third Proportional to 14,582.85 and 23,552.96

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Solution

The third proportional to 14,582.85 and 23,552.96 is: 38,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582.85 : 23,552.96 = 23,552.96 : x
  2. Step 2: Convert to fraction form
    14,582.85/23,552.96 = 23,552.96/x
  3. Step 3: Cross multiply
    14,582.85x = 23,552.96 × 23,552.96
  4. Step 4: Simplify right side
    14,582.85x = 554,742,152.93
  5. Step 5: Solve for x
    x = 554,742,152.93/14,582.85
  6. Step 6: Final answer
    x = 38,040.73

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.