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Finding the Third Proportional to 18,784 and 40,070

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Solution

The third proportional to 18,784 and 40,070 is: 85,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,784 : 40,070 = 40,070 : x
  2. Step 2: Convert to fraction form
    18,784/40,070 = 40,070/x
  3. Step 3: Cross multiply
    18,784x = 40,070 × 40,070
  4. Step 4: Simplify right side
    18,784x = 1,605,604,900
  5. Step 5: Solve for x
    x = 1,605,604,900/18,784
  6. Step 6: Final answer
    x = 85,477.26

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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.