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Finding the Third Proportional to 45,015.75 and 66,646.13

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Solution

The third proportional to 45,015.75 and 66,646.13 is: 98,670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,015.75 : 66,646.13 = 66,646.13 : x
  2. Step 2: Convert to fraction form
    45,015.75/66,646.13 = 66,646.13/x
  3. Step 3: Cross multiply
    45,015.75x = 66,646.13 × 66,646.13
  4. Step 4: Simplify right side
    45,015.75x = 4,441,705,977.52
  5. Step 5: Solve for x
    x = 4,441,705,977.52/45,015.75
  6. Step 6: Final answer
    x = 98,670.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.