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Finding the Third Proportional to 10,968.75 and 17,128.13

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Solution

The third proportional to 10,968.75 and 17,128.13 is: 26,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968.75 : 17,128.13 = 17,128.13 : x
  2. Step 2: Convert to fraction form
    10,968.75/17,128.13 = 17,128.13/x
  3. Step 3: Cross multiply
    10,968.75x = 17,128.13 × 17,128.13
  4. Step 4: Simplify right side
    10,968.75x = 293,372,666.02
  5. Step 5: Solve for x
    x = 293,372,666.02/10,968.75
  6. Step 6: Final answer
    x = 26,746.23

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.