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Finding the Third Proportional to 21,476.75 and 23,423.75

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Solution

The third proportional to 21,476.75 and 23,423.75 is: 25,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,476.75 : 23,423.75 = 23,423.75 : x
  2. Step 2: Convert to fraction form
    21,476.75/23,423.75 = 23,423.75/x
  3. Step 3: Cross multiply
    21,476.75x = 23,423.75 × 23,423.75
  4. Step 4: Simplify right side
    21,476.75x = 548,672,064.06
  5. Step 5: Solve for x
    x = 548,672,064.06/21,476.75
  6. Step 6: Final answer
    x = 25,547.26

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.