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Finding the Third Proportional to 14,823.42 and 23,708.74

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Solution

The third proportional to 14,823.42 and 23,708.74 is: 37,920.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.42 : 23,708.74 = 23,708.74 : x
  2. Step 2: Convert to fraction form
    14,823.42/23,708.74 = 23,708.74/x
  3. Step 3: Cross multiply
    14,823.42x = 23,708.74 × 23,708.74
  4. Step 4: Simplify right side
    14,823.42x = 562,104,456.11
  5. Step 5: Solve for x
    x = 562,104,456.11/14,823.42
  6. Step 6: Final answer
    x = 37,920.02

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.