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Finding the Third Proportional to 10,929.94 and 17,339.06

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Solution

The third proportional to 10,929.94 and 17,339.06 is: 27,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.94 : 17,339.06 = 17,339.06 : x
  2. Step 2: Convert to fraction form
    10,929.94/17,339.06 = 17,339.06/x
  3. Step 3: Cross multiply
    10,929.94x = 17,339.06 × 17,339.06
  4. Step 4: Simplify right side
    10,929.94x = 300,643,088.38
  5. Step 5: Solve for x
    x = 300,643,088.38/10,929.94
  6. Step 6: Final answer
    x = 27,506.39

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.