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Finding the Third Proportional to 28,510 and 42,891

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Solution

The third proportional to 28,510 and 42,891 is: 64,526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,510 : 42,891 = 42,891 : x
  2. Step 2: Convert to fraction form
    28,510/42,891 = 42,891/x
  3. Step 3: Cross multiply
    28,510x = 42,891 × 42,891
  4. Step 4: Simplify right side
    28,510x = 1,839,637,881
  5. Step 5: Solve for x
    x = 1,839,637,881/28,510
  6. Step 6: Final answer
    x = 64,526.06

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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.