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Finding the Third Proportional to 19,068 and 45,071

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Solution

The third proportional to 19,068 and 45,071 is: 106,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,068 : 45,071 = 45,071 : x
  2. Step 2: Convert to fraction form
    19,068/45,071 = 45,071/x
  3. Step 3: Cross multiply
    19,068x = 45,071 × 45,071
  4. Step 4: Simplify right side
    19,068x = 2,031,395,041
  5. Step 5: Solve for x
    x = 2,031,395,041/19,068
  6. Step 6: Final answer
    x = 106,534.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.