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Finding the Third Proportional to 22,376 and 45,724

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Solution

The third proportional to 22,376 and 45,724 is: 93,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,376 : 45,724 = 45,724 : x
  2. Step 2: Convert to fraction form
    22,376/45,724 = 45,724/x
  3. Step 3: Cross multiply
    22,376x = 45,724 × 45,724
  4. Step 4: Simplify right side
    22,376x = 2,090,684,176
  5. Step 5: Solve for x
    x = 2,090,684,176/22,376
  6. Step 6: Final answer
    x = 93,434.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.