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Finding the Third Proportional to 4,657.25 and 7,046

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Solution

The third proportional to 4,657.25 and 7,046 is: 10,659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.25 : 7,046 = 7,046 : x
  2. Step 2: Convert to fraction form
    4,657.25/7,046 = 7,046/x
  3. Step 3: Cross multiply
    4,657.25x = 7,046 × 7,046
  4. Step 4: Simplify right side
    4,657.25x = 49,646,116
  5. Step 5: Solve for x
    x = 49,646,116/4,657.25
  6. Step 6: Final answer
    x = 10,659.96

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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.