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Finding the Third Proportional to 9,035.30 and 13,285.90

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Solution

The third proportional to 9,035.30 and 13,285.90 is: 19,536.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.30 : 13,285.90 = 13,285.90 : x
  2. Step 2: Convert to fraction form
    9,035.30/13,285.90 = 13,285.90/x
  3. Step 3: Cross multiply
    9,035.30x = 13,285.90 × 13,285.90
  4. Step 4: Simplify right side
    9,035.30x = 176,515,097.29
  5. Step 5: Solve for x
    x = 176,515,097.29/9,035.30
  6. Step 6: Final answer
    x = 19,536.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.