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Finding the Third Proportional to 28,415 and 38,470

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Solution

The third proportional to 28,415 and 38,470 is: 52,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,415 : 38,470 = 38,470 : x
  2. Step 2: Convert to fraction form
    28,415/38,470 = 38,470/x
  3. Step 3: Cross multiply
    28,415x = 38,470 × 38,470
  4. Step 4: Simplify right side
    28,415x = 1,479,940,900
  5. Step 5: Solve for x
    x = 1,479,940,900/28,415
  6. Step 6: Final answer
    x = 52,083.09

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.