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Finding the Third Proportional to 28,278 and 42,480

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Solution

The third proportional to 28,278 and 42,480 is: 63,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,278 : 42,480 = 42,480 : x
  2. Step 2: Convert to fraction form
    28,278/42,480 = 42,480/x
  3. Step 3: Cross multiply
    28,278x = 42,480 × 42,480
  4. Step 4: Simplify right side
    28,278x = 1,804,550,400
  5. Step 5: Solve for x
    x = 1,804,550,400/28,278
  6. Step 6: Final answer
    x = 63,814.64

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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.