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Finding the Third Proportional to 5,623.17 and 8,556.26

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Solution

The third proportional to 5,623.17 and 8,556.26 is: 13,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.17 : 8,556.26 = 8,556.26 : x
  2. Step 2: Convert to fraction form
    5,623.17/8,556.26 = 8,556.26/x
  3. Step 3: Cross multiply
    5,623.17x = 8,556.26 × 8,556.26
  4. Step 4: Simplify right side
    5,623.17x = 73,209,547.75
  5. Step 5: Solve for x
    x = 73,209,547.75/5,623.17
  6. Step 6: Final answer
    x = 13,019.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.