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Finding the Third Proportional to 13,063.25 and 19,564.25

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Solution

The third proportional to 13,063.25 and 19,564.25 is: 29,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,063.25 : 19,564.25 = 19,564.25 : x
  2. Step 2: Convert to fraction form
    13,063.25/19,564.25 = 19,564.25/x
  3. Step 3: Cross multiply
    13,063.25x = 19,564.25 × 19,564.25
  4. Step 4: Simplify right side
    13,063.25x = 382,759,878.06
  5. Step 5: Solve for x
    x = 382,759,878.06/13,063.25
  6. Step 6: Final answer
    x = 29,300.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.