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Finding the Third Proportional to 10,012 and 21,470

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Solution

The third proportional to 10,012 and 21,470 is: 46,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012 : 21,470 = 21,470 : x
  2. Step 2: Convert to fraction form
    10,012/21,470 = 21,470/x
  3. Step 3: Cross multiply
    10,012x = 21,470 × 21,470
  4. Step 4: Simplify right side
    10,012x = 460,960,900
  5. Step 5: Solve for x
    x = 460,960,900/10,012
  6. Step 6: Final answer
    x = 46,040.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.