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Finding the Third Proportional to 40,219 and 52,888

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Solution

The third proportional to 40,219 and 52,888 is: 69,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,219 : 52,888 = 52,888 : x
  2. Step 2: Convert to fraction form
    40,219/52,888 = 52,888/x
  3. Step 3: Cross multiply
    40,219x = 52,888 × 52,888
  4. Step 4: Simplify right side
    40,219x = 2,797,140,544
  5. Step 5: Solve for x
    x = 2,797,140,544/40,219
  6. Step 6: Final answer
    x = 69,547.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.