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Finding the Third Proportional to 7,392 and 11,703.38

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Solution

The third proportional to 7,392 and 11,703.38 is: 18,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392 : 11,703.38 = 11,703.38 : x
  2. Step 2: Convert to fraction form
    7,392/11,703.38 = 11,703.38/x
  3. Step 3: Cross multiply
    7,392x = 11,703.38 × 11,703.38
  4. Step 4: Simplify right side
    7,392x = 136,968,986.39
  5. Step 5: Solve for x
    x = 136,968,986.39/7,392
  6. Step 6: Final answer
    x = 18,529.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.