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Finding the Third Proportional to 19,509 and 42,303

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Solution

The third proportional to 19,509 and 42,303 is: 91,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509 : 42,303 = 42,303 : x
  2. Step 2: Convert to fraction form
    19,509/42,303 = 42,303/x
  3. Step 3: Cross multiply
    19,509x = 42,303 × 42,303
  4. Step 4: Simplify right side
    19,509x = 1,789,543,809
  5. Step 5: Solve for x
    x = 1,789,543,809/19,509
  6. Step 6: Final answer
    x = 91,729.14

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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.