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Finding the Third Proportional to 9,740.25 and 14,306.63

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Solution

The third proportional to 9,740.25 and 14,306.63 is: 21,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.25 : 14,306.63 = 14,306.63 : x
  2. Step 2: Convert to fraction form
    9,740.25/14,306.63 = 14,306.63/x
  3. Step 3: Cross multiply
    9,740.25x = 14,306.63 × 14,306.63
  4. Step 4: Simplify right side
    9,740.25x = 204,679,518.89
  5. Step 5: Solve for x
    x = 204,679,518.89/9,740.25
  6. Step 6: Final answer
    x = 21,013.78

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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.