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Finding the Third Proportional to 14,346 and 29,328.75

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Solution

The third proportional to 14,346 and 29,328.75 is: 59,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346 : 29,328.75 = 29,328.75 : x
  2. Step 2: Convert to fraction form
    14,346/29,328.75 = 29,328.75/x
  3. Step 3: Cross multiply
    14,346x = 29,328.75 × 29,328.75
  4. Step 4: Simplify right side
    14,346x = 860,175,576.56
  5. Step 5: Solve for x
    x = 860,175,576.56/14,346
  6. Step 6: Final answer
    x = 59,959.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.