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Finding the Third Proportional to 10,706.63 and 17,051.63

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Solution

The third proportional to 10,706.63 and 17,051.63 is: 27,156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.63 : 17,051.63 = 17,051.63 : x
  2. Step 2: Convert to fraction form
    10,706.63/17,051.63 = 17,051.63/x
  3. Step 3: Cross multiply
    10,706.63x = 17,051.63 × 17,051.63
  4. Step 4: Simplify right side
    10,706.63x = 290,757,915.14
  5. Step 5: Solve for x
    x = 290,757,915.14/10,706.63
  6. Step 6: Final answer
    x = 27,156.82

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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.