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Finding the Third Proportional to 3,146.34 and 4,746.09

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Solution

The third proportional to 3,146.34 and 4,746.09 is: 7,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.34 : 4,746.09 = 4,746.09 : x
  2. Step 2: Convert to fraction form
    3,146.34/4,746.09 = 4,746.09/x
  3. Step 3: Cross multiply
    3,146.34x = 4,746.09 × 4,746.09
  4. Step 4: Simplify right side
    3,146.34x = 22,525,405.88
  5. Step 5: Solve for x
    x = 22,525,405.88/3,146.34
  6. Step 6: Final answer
    x = 7,159.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.