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Finding the Third Proportional to 1,975.08 and 4,223.53

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Solution

The third proportional to 1,975.08 and 4,223.53 is: 9,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.08 : 4,223.53 = 4,223.53 : x
  2. Step 2: Convert to fraction form
    1,975.08/4,223.53 = 4,223.53/x
  3. Step 3: Cross multiply
    1,975.08x = 4,223.53 × 4,223.53
  4. Step 4: Simplify right side
    1,975.08x = 17,838,216.22
  5. Step 5: Solve for x
    x = 17,838,216.22/1,975.08
  6. Step 6: Final answer
    x = 9,031.65

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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.