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Finding the Third Proportional to 19,460 and 30,102

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Solution

The third proportional to 19,460 and 30,102 is: 46,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,460 : 30,102 = 30,102 : x
  2. Step 2: Convert to fraction form
    19,460/30,102 = 30,102/x
  3. Step 3: Cross multiply
    19,460x = 30,102 × 30,102
  4. Step 4: Simplify right side
    19,460x = 906,130,404
  5. Step 5: Solve for x
    x = 906,130,404/19,460
  6. Step 6: Final answer
    x = 46,563.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.