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Finding the Third Proportional to 28,378 and 42,962

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Solution

The third proportional to 28,378 and 42,962 is: 65,041.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,378 : 42,962 = 42,962 : x
  2. Step 2: Convert to fraction form
    28,378/42,962 = 42,962/x
  3. Step 3: Cross multiply
    28,378x = 42,962 × 42,962
  4. Step 4: Simplify right side
    28,378x = 1,845,733,444
  5. Step 5: Solve for x
    x = 1,845,733,444/28,378
  6. Step 6: Final answer
    x = 65,041.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.