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Finding the Third Proportional to 12,973 and 28,300

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Solution

The third proportional to 12,973 and 28,300 is: 61,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973 : 28,300 = 28,300 : x
  2. Step 2: Convert to fraction form
    12,973/28,300 = 28,300/x
  3. Step 3: Cross multiply
    12,973x = 28,300 × 28,300
  4. Step 4: Simplify right side
    12,973x = 800,890,000
  5. Step 5: Solve for x
    x = 800,890,000/12,973
  6. Step 6: Final answer
    x = 61,735.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.