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Finding the Third Proportional to 15,490 and 32,918

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Solution

The third proportional to 15,490 and 32,918 is: 69,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,490 : 32,918 = 32,918 : x
  2. Step 2: Convert to fraction form
    15,490/32,918 = 32,918/x
  3. Step 3: Cross multiply
    15,490x = 32,918 × 32,918
  4. Step 4: Simplify right side
    15,490x = 1,083,594,724
  5. Step 5: Solve for x
    x = 1,083,594,724/15,490
  6. Step 6: Final answer
    x = 69,954.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.