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Finding the Third Proportional to 1,973.95 and 4,278.23

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Solution

The third proportional to 1,973.95 and 4,278.23 is: 9,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.95 : 4,278.23 = 4,278.23 : x
  2. Step 2: Convert to fraction form
    1,973.95/4,278.23 = 4,278.23/x
  3. Step 3: Cross multiply
    1,973.95x = 4,278.23 × 4,278.23
  4. Step 4: Simplify right side
    1,973.95x = 18,303,289.37
  5. Step 5: Solve for x
    x = 18,303,289.37/1,973.95
  6. Step 6: Final answer
    x = 9,272.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.