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Finding the Third Proportional to 19,023 and 40,470

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Solution

The third proportional to 19,023 and 40,470 is: 86,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,023 : 40,470 = 40,470 : x
  2. Step 2: Convert to fraction form
    19,023/40,470 = 40,470/x
  3. Step 3: Cross multiply
    19,023x = 40,470 × 40,470
  4. Step 4: Simplify right side
    19,023x = 1,637,820,900
  5. Step 5: Solve for x
    x = 1,637,820,900/19,023
  6. Step 6: Final answer
    x = 86,096.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.