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Finding the Third Proportional to 8,746.50 and 20,146.50

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Solution

The third proportional to 8,746.50 and 20,146.50 is: 46,405.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746.50 : 20,146.50 = 20,146.50 : x
  2. Step 2: Convert to fraction form
    8,746.50/20,146.50 = 20,146.50/x
  3. Step 3: Cross multiply
    8,746.50x = 20,146.50 × 20,146.50
  4. Step 4: Simplify right side
    8,746.50x = 405,881,462.25
  5. Step 5: Solve for x
    x = 405,881,462.25/8,746.50
  6. Step 6: Final answer
    x = 46,405.01

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.