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Finding the Third Proportional to 14,346 and 32,973

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Solution

The third proportional to 14,346 and 32,973 is: 75,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346 : 32,973 = 32,973 : x
  2. Step 2: Convert to fraction form
    14,346/32,973 = 32,973/x
  3. Step 3: Cross multiply
    14,346x = 32,973 × 32,973
  4. Step 4: Simplify right side
    14,346x = 1,087,218,729
  5. Step 5: Solve for x
    x = 1,087,218,729/14,346
  6. Step 6: Final answer
    x = 75,785.50

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.