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Finding the Third Proportional to 19,023 and 41,053

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Solution

The third proportional to 19,023 and 41,053 is: 88,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,023 : 41,053 = 41,053 : x
  2. Step 2: Convert to fraction form
    19,023/41,053 = 41,053/x
  3. Step 3: Cross multiply
    19,023x = 41,053 × 41,053
  4. Step 4: Simplify right side
    19,023x = 1,685,348,809
  5. Step 5: Solve for x
    x = 1,685,348,809/19,023
  6. Step 6: Final answer
    x = 88,595.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.