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Finding the Third Proportional to 24,688 and 35,280

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Solution

The third proportional to 24,688 and 35,280 is: 50,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,688 : 35,280 = 35,280 : x
  2. Step 2: Convert to fraction form
    24,688/35,280 = 35,280/x
  3. Step 3: Cross multiply
    24,688x = 35,280 × 35,280
  4. Step 4: Simplify right side
    24,688x = 1,244,678,400
  5. Step 5: Solve for x
    x = 1,244,678,400/24,688
  6. Step 6: Final answer
    x = 50,416.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.