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Finding the Third Proportional to 14,630.63 and 23,545.69

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Solution

The third proportional to 14,630.63 and 23,545.69 is: 37,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,630.63 : 23,545.69 = 23,545.69 : x
  2. Step 2: Convert to fraction form
    14,630.63/23,545.69 = 23,545.69/x
  3. Step 3: Cross multiply
    14,630.63x = 23,545.69 × 23,545.69
  4. Step 4: Simplify right side
    14,630.63x = 554,399,399.85
  5. Step 5: Solve for x
    x = 554,399,399.85/14,630.63
  6. Step 6: Final answer
    x = 37,893.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.