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Finding the Third Proportional to 15,178 and 32,948

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Solution

The third proportional to 15,178 and 32,948 is: 71,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178 : 32,948 = 32,948 : x
  2. Step 2: Convert to fraction form
    15,178/32,948 = 32,948/x
  3. Step 3: Cross multiply
    15,178x = 32,948 × 32,948
  4. Step 4: Simplify right side
    15,178x = 1,085,570,704
  5. Step 5: Solve for x
    x = 1,085,570,704/15,178
  6. Step 6: Final answer
    x = 71,522.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.