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Finding the Third Proportional to 14,370.75 and 23,748.19

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Solution

The third proportional to 14,370.75 and 23,748.19 is: 39,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,370.75 : 23,748.19 = 23,748.19 : x
  2. Step 2: Convert to fraction form
    14,370.75/23,748.19 = 23,748.19/x
  3. Step 3: Cross multiply
    14,370.75x = 23,748.19 × 23,748.19
  4. Step 4: Simplify right side
    14,370.75x = 563,976,409.54
  5. Step 5: Solve for x
    x = 563,976,409.54/14,370.75
  6. Step 6: Final answer
    x = 39,244.74

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.