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Finding the Third Proportional to 28,336 and 42,509

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Solution

The third proportional to 28,336 and 42,509 is: 63,771.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,336 : 42,509 = 42,509 : x
  2. Step 2: Convert to fraction form
    28,336/42,509 = 42,509/x
  3. Step 3: Cross multiply
    28,336x = 42,509 × 42,509
  4. Step 4: Simplify right side
    28,336x = 1,807,015,081
  5. Step 5: Solve for x
    x = 1,807,015,081/28,336
  6. Step 6: Final answer
    x = 63,771.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.