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Finding the Third Proportional to 9,987 and 12,970.50

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Solution

The third proportional to 9,987 and 12,970.50 is: 16,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987 : 12,970.50 = 12,970.50 : x
  2. Step 2: Convert to fraction form
    9,987/12,970.50 = 12,970.50/x
  3. Step 3: Cross multiply
    9,987x = 12,970.50 × 12,970.50
  4. Step 4: Simplify right side
    9,987x = 168,233,870.25
  5. Step 5: Solve for x
    x = 168,233,870.25/9,987
  6. Step 6: Final answer
    x = 16,845.29

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.