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Finding the Third Proportional to 45,234.56 and 66,497.91

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Solution

The third proportional to 45,234.56 and 66,497.91 is: 97,756.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,234.56 : 66,497.91 = 66,497.91 : x
  2. Step 2: Convert to fraction form
    45,234.56/66,497.91 = 66,497.91/x
  3. Step 3: Cross multiply
    45,234.56x = 66,497.91 × 66,497.91
  4. Step 4: Simplify right side
    45,234.56x = 4,421,971,535.63
  5. Step 5: Solve for x
    x = 4,421,971,535.63/45,234.56
  6. Step 6: Final answer
    x = 97,756.48

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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.