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Finding the Third Proportional to 45,231.75 and 66,492.56

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Solution

The third proportional to 45,231.75 and 66,492.56 is: 97,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,231.75 : 66,492.56 = 66,492.56 : x
  2. Step 2: Convert to fraction form
    45,231.75/66,492.56 = 66,492.56/x
  3. Step 3: Cross multiply
    45,231.75x = 66,492.56 × 66,492.56
  4. Step 4: Simplify right side
    45,231.75x = 4,421,260,867.82
  5. Step 5: Solve for x
    x = 4,421,260,867.82/45,231.75
  6. Step 6: Final answer
    x = 97,746.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.