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Finding the Third Proportional to 10,536.75 and 13,564.13

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Solution

The third proportional to 10,536.75 and 13,564.13 is: 17,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.75 : 13,564.13 = 13,564.13 : x
  2. Step 2: Convert to fraction form
    10,536.75/13,564.13 = 13,564.13/x
  3. Step 3: Cross multiply
    10,536.75x = 13,564.13 × 13,564.13
  4. Step 4: Simplify right side
    10,536.75x = 183,985,487.02
  5. Step 5: Solve for x
    x = 183,985,487.02/10,536.75
  6. Step 6: Final answer
    x = 17,461.31

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.