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Finding the Third Proportional to 22,988 and 25,364

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Solution

The third proportional to 22,988 and 25,364 is: 27,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,988 : 25,364 = 25,364 : x
  2. Step 2: Convert to fraction form
    22,988/25,364 = 25,364/x
  3. Step 3: Cross multiply
    22,988x = 25,364 × 25,364
  4. Step 4: Simplify right side
    22,988x = 643,332,496
  5. Step 5: Solve for x
    x = 643,332,496/22,988
  6. Step 6: Final answer
    x = 27,985.58

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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.