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Finding the Third Proportional to 30,104 and 42,070

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Solution

The third proportional to 30,104 and 42,070 is: 58,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,104 : 42,070 = 42,070 : x
  2. Step 2: Convert to fraction form
    30,104/42,070 = 42,070/x
  3. Step 3: Cross multiply
    30,104x = 42,070 × 42,070
  4. Step 4: Simplify right side
    30,104x = 1,769,884,900
  5. Step 5: Solve for x
    x = 1,769,884,900/30,104
  6. Step 6: Final answer
    x = 58,792.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.