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Finding the Third Proportional to 12,830 and 28,030

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Solution

The third proportional to 12,830 and 28,030 is: 61,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830 : 28,030 = 28,030 : x
  2. Step 2: Convert to fraction form
    12,830/28,030 = 28,030/x
  3. Step 3: Cross multiply
    12,830x = 28,030 × 28,030
  4. Step 4: Simplify right side
    12,830x = 785,680,900
  5. Step 5: Solve for x
    x = 785,680,900/12,830
  6. Step 6: Final answer
    x = 61,237.79

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Why These Related Problems?

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