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Finding the Third Proportional to 14,090 and 30,132

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Solution

The third proportional to 14,090 and 30,132 is: 64,438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,090 : 30,132 = 30,132 : x
  2. Step 2: Convert to fraction form
    14,090/30,132 = 30,132/x
  3. Step 3: Cross multiply
    14,090x = 30,132 × 30,132
  4. Step 4: Simplify right side
    14,090x = 907,937,424
  5. Step 5: Solve for x
    x = 907,937,424/14,090
  6. Step 6: Final answer
    x = 64,438.43

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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.