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Finding the Third Proportional to 9,283.50 and 19,539

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Solution

The third proportional to 9,283.50 and 19,539 is: 41,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.50 : 19,539 = 19,539 : x
  2. Step 2: Convert to fraction form
    9,283.50/19,539 = 19,539/x
  3. Step 3: Cross multiply
    9,283.50x = 19,539 × 19,539
  4. Step 4: Simplify right side
    9,283.50x = 381,772,521
  5. Step 5: Solve for x
    x = 381,772,521/9,283.50
  6. Step 6: Final answer
    x = 41,123.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.