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Finding the Third Proportional to 10,182.94 and 14,590.97

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Solution

The third proportional to 10,182.94 and 14,590.97 is: 20,907.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.94 : 14,590.97 = 14,590.97 : x
  2. Step 2: Convert to fraction form
    10,182.94/14,590.97 = 14,590.97/x
  3. Step 3: Cross multiply
    10,182.94x = 14,590.97 × 14,590.97
  4. Step 4: Simplify right side
    10,182.94x = 212,896,369.06
  5. Step 5: Solve for x
    x = 212,896,369.06/10,182.94
  6. Step 6: Final answer
    x = 20,907.17

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.