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Finding the Third Proportional to 45,717.75 and 66,794.63

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Solution

The third proportional to 45,717.75 and 66,794.63 is: 97,588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,717.75 : 66,794.63 = 66,794.63 : x
  2. Step 2: Convert to fraction form
    45,717.75/66,794.63 = 66,794.63/x
  3. Step 3: Cross multiply
    45,717.75x = 66,794.63 × 66,794.63
  4. Step 4: Simplify right side
    45,717.75x = 4,461,521,928.89
  5. Step 5: Solve for x
    x = 4,461,521,928.89/45,717.75
  6. Step 6: Final answer
    x = 97,588.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.