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Finding the Third Proportional to 12,898.50 and 14,113.50

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Solution

The third proportional to 12,898.50 and 14,113.50 is: 15,442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.50 : 14,113.50 = 14,113.50 : x
  2. Step 2: Convert to fraction form
    12,898.50/14,113.50 = 14,113.50/x
  3. Step 3: Cross multiply
    12,898.50x = 14,113.50 × 14,113.50
  4. Step 4: Simplify right side
    12,898.50x = 199,190,882.25
  5. Step 5: Solve for x
    x = 199,190,882.25/12,898.50
  6. Step 6: Final answer
    x = 15,442.95

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.