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Finding the Third Proportional to 7,464 and 18,072

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Solution

The third proportional to 7,464 and 18,072 is: 43,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464 : 18,072 = 18,072 : x
  2. Step 2: Convert to fraction form
    7,464/18,072 = 18,072/x
  3. Step 3: Cross multiply
    7,464x = 18,072 × 18,072
  4. Step 4: Simplify right side
    7,464x = 326,597,184
  5. Step 5: Solve for x
    x = 326,597,184/7,464
  6. Step 6: Final answer
    x = 43,756.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.