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Finding the Third Proportional to 46,864 and 66,790.25

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Solution

The third proportional to 46,864 and 66,790.25 is: 95,189.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,864 : 66,790.25 = 66,790.25 : x
  2. Step 2: Convert to fraction form
    46,864/66,790.25 = 66,790.25/x
  3. Step 3: Cross multiply
    46,864x = 66,790.25 × 66,790.25
  4. Step 4: Simplify right side
    46,864x = 4,460,937,495.06
  5. Step 5: Solve for x
    x = 4,460,937,495.06/46,864
  6. Step 6: Final answer
    x = 95,189.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.