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Finding the Third Proportional to 28,372 and 42,953

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Solution

The third proportional to 28,372 and 42,953 is: 65,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,372 : 42,953 = 42,953 : x
  2. Step 2: Convert to fraction form
    28,372/42,953 = 42,953/x
  3. Step 3: Cross multiply
    28,372x = 42,953 × 42,953
  4. Step 4: Simplify right side
    28,372x = 1,844,960,209
  5. Step 5: Solve for x
    x = 1,844,960,209/28,372
  6. Step 6: Final answer
    x = 65,027.50

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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.