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Finding the Third Proportional to 7,996.22 and 17,547.26

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Solution

The third proportional to 7,996.22 and 17,547.26 is: 38,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.22 : 17,547.26 = 17,547.26 : x
  2. Step 2: Convert to fraction form
    7,996.22/17,547.26 = 17,547.26/x
  3. Step 3: Cross multiply
    7,996.22x = 17,547.26 × 17,547.26
  4. Step 4: Simplify right side
    7,996.22x = 307,906,256.74
  5. Step 5: Solve for x
    x = 307,906,256.74/7,996.22
  6. Step 6: Final answer
    x = 38,506.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.