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Finding the Third Proportional to 14,473.69 and 25,165.69

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Solution

The third proportional to 14,473.69 and 25,165.69 is: 43,756.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.69 : 25,165.69 = 25,165.69 : x
  2. Step 2: Convert to fraction form
    14,473.69/25,165.69 = 25,165.69/x
  3. Step 3: Cross multiply
    14,473.69x = 25,165.69 × 25,165.69
  4. Step 4: Simplify right side
    14,473.69x = 633,311,827.35
  5. Step 5: Solve for x
    x = 633,311,827.35/14,473.69
  6. Step 6: Final answer
    x = 43,756.08

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.