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Finding the Third Proportional to 12,522 and 25,390.50

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Solution

The third proportional to 12,522 and 25,390.50 is: 51,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522 : 25,390.50 = 25,390.50 : x
  2. Step 2: Convert to fraction form
    12,522/25,390.50 = 25,390.50/x
  3. Step 3: Cross multiply
    12,522x = 25,390.50 × 25,390.50
  4. Step 4: Simplify right side
    12,522x = 644,677,490.25
  5. Step 5: Solve for x
    x = 644,677,490.25/12,522
  6. Step 6: Final answer
    x = 51,483.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.