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Finding the Third Proportional to 10,688.63 and 13,559.06

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Solution

The third proportional to 10,688.63 and 13,559.06 is: 17,200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.63 : 13,559.06 = 13,559.06 : x
  2. Step 2: Convert to fraction form
    10,688.63/13,559.06 = 13,559.06/x
  3. Step 3: Cross multiply
    10,688.63x = 13,559.06 × 13,559.06
  4. Step 4: Simplify right side
    10,688.63x = 183,848,175.88
  5. Step 5: Solve for x
    x = 183,848,175.88/10,688.63
  6. Step 6: Final answer
    x = 17,200.36

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.