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Finding the Third Proportional to 23,528 and 25,988

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Solution

The third proportional to 23,528 and 25,988 is: 28,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,528 : 25,988 = 25,988 : x
  2. Step 2: Convert to fraction form
    23,528/25,988 = 25,988/x
  3. Step 3: Cross multiply
    23,528x = 25,988 × 25,988
  4. Step 4: Simplify right side
    23,528x = 675,376,144
  5. Step 5: Solve for x
    x = 675,376,144/23,528
  6. Step 6: Final answer
    x = 28,705.21

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.