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Finding the Third Proportional to 14,312 and 30,740

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Solution

The third proportional to 14,312 and 30,740 is: 66,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312 : 30,740 = 30,740 : x
  2. Step 2: Convert to fraction form
    14,312/30,740 = 30,740/x
  3. Step 3: Cross multiply
    14,312x = 30,740 × 30,740
  4. Step 4: Simplify right side
    14,312x = 944,947,600
  5. Step 5: Solve for x
    x = 944,947,600/14,312
  6. Step 6: Final answer
    x = 66,024.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.