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Finding the Third Proportional to 19,046 and 40,888

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Solution

The third proportional to 19,046 and 40,888 is: 87,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,046 : 40,888 = 40,888 : x
  2. Step 2: Convert to fraction form
    19,046/40,888 = 40,888/x
  3. Step 3: Cross multiply
    19,046x = 40,888 × 40,888
  4. Step 4: Simplify right side
    19,046x = 1,671,828,544
  5. Step 5: Solve for x
    x = 1,671,828,544/19,046
  6. Step 6: Final answer
    x = 87,778.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.