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Finding the Third Proportional to 28,260 and 42,754.50

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Solution

The third proportional to 28,260 and 42,754.50 is: 64,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,260 : 42,754.50 = 42,754.50 : x
  2. Step 2: Convert to fraction form
    28,260/42,754.50 = 42,754.50/x
  3. Step 3: Cross multiply
    28,260x = 42,754.50 × 42,754.50
  4. Step 4: Simplify right side
    28,260x = 1,827,947,270.25
  5. Step 5: Solve for x
    x = 1,827,947,270.25/28,260
  6. Step 6: Final answer
    x = 64,683.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.