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Finding the Third Proportional to 14,030 and 30,031

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Solution

The third proportional to 14,030 and 30,031 is: 64,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030 : 30,031 = 30,031 : x
  2. Step 2: Convert to fraction form
    14,030/30,031 = 30,031/x
  3. Step 3: Cross multiply
    14,030x = 30,031 × 30,031
  4. Step 4: Simplify right side
    14,030x = 901,860,961
  5. Step 5: Solve for x
    x = 901,860,961/14,030
  6. Step 6: Final answer
    x = 64,280.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.