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Finding the Third Proportional to 7,805.53 and 16,726.50

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Solution

The third proportional to 7,805.53 and 16,726.50 is: 35,843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.53 : 16,726.50 = 16,726.50 : x
  2. Step 2: Convert to fraction form
    7,805.53/16,726.50 = 16,726.50/x
  3. Step 3: Cross multiply
    7,805.53x = 16,726.50 × 16,726.50
  4. Step 4: Simplify right side
    7,805.53x = 279,775,802.25
  5. Step 5: Solve for x
    x = 279,775,802.25/7,805.53
  6. Step 6: Final answer
    x = 35,843.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.