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Finding the Third Proportional to 28,460.25 and 42,782.25

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Solution

The third proportional to 28,460.25 and 42,782.25 is: 64,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,460.25 : 42,782.25 = 42,782.25 : x
  2. Step 2: Convert to fraction form
    28,460.25/42,782.25 = 42,782.25/x
  3. Step 3: Cross multiply
    28,460.25x = 42,782.25 × 42,782.25
  4. Step 4: Simplify right side
    28,460.25x = 1,830,320,915.06
  5. Step 5: Solve for x
    x = 1,830,320,915.06/28,460.25
  6. Step 6: Final answer
    x = 64,311.48

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