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Finding the Third Proportional to 8,729 and 12,971.50

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Solution

The third proportional to 8,729 and 12,971.50 is: 19,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729 : 12,971.50 = 12,971.50 : x
  2. Step 2: Convert to fraction form
    8,729/12,971.50 = 12,971.50/x
  3. Step 3: Cross multiply
    8,729x = 12,971.50 × 12,971.50
  4. Step 4: Simplify right side
    8,729x = 168,259,812.25
  5. Step 5: Solve for x
    x = 168,259,812.25/8,729
  6. Step 6: Final answer
    x = 19,275.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.