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Finding the Third Proportional to 28,380 and 42,964

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Solution

The third proportional to 28,380 and 42,964 is: 65,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,380 : 42,964 = 42,964 : x
  2. Step 2: Convert to fraction form
    28,380/42,964 = 42,964/x
  3. Step 3: Cross multiply
    28,380x = 42,964 × 42,964
  4. Step 4: Simplify right side
    28,380x = 1,845,905,296
  5. Step 5: Solve for x
    x = 1,845,905,296/28,380
  6. Step 6: Final answer
    x = 65,042.47

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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.