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Finding the Third Proportional to 28,280 and 45,012

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Solution

The third proportional to 28,280 and 45,012 is: 71,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,280 : 45,012 = 45,012 : x
  2. Step 2: Convert to fraction form
    28,280/45,012 = 45,012/x
  3. Step 3: Cross multiply
    28,280x = 45,012 × 45,012
  4. Step 4: Simplify right side
    28,280x = 2,026,080,144
  5. Step 5: Solve for x
    x = 2,026,080,144/28,280
  6. Step 6: Final answer
    x = 71,643.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.