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Finding the Third Proportional to 30,726 and 45,073

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Solution

The third proportional to 30,726 and 45,073 is: 66,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,726 : 45,073 = 45,073 : x
  2. Step 2: Convert to fraction form
    30,726/45,073 = 45,073/x
  3. Step 3: Cross multiply
    30,726x = 45,073 × 45,073
  4. Step 4: Simplify right side
    30,726x = 2,031,575,329
  5. Step 5: Solve for x
    x = 2,031,575,329/30,726
  6. Step 6: Final answer
    x = 66,119.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.