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Finding the Third Proportional to 9,545.34 and 14,834.39

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Solution

The third proportional to 9,545.34 and 14,834.39 is: 23,054.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.34 : 14,834.39 = 14,834.39 : x
  2. Step 2: Convert to fraction form
    9,545.34/14,834.39 = 14,834.39/x
  3. Step 3: Cross multiply
    9,545.34x = 14,834.39 × 14,834.39
  4. Step 4: Simplify right side
    9,545.34x = 220,059,145.22
  5. Step 5: Solve for x
    x = 220,059,145.22/9,545.34
  6. Step 6: Final answer
    x = 23,054.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.