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Finding the Third Proportional to 45,310 and 66,630

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Solution

The third proportional to 45,310 and 66,630 is: 97,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,310 : 66,630 = 66,630 : x
  2. Step 2: Convert to fraction form
    45,310/66,630 = 66,630/x
  3. Step 3: Cross multiply
    45,310x = 66,630 × 66,630
  4. Step 4: Simplify right side
    45,310x = 4,439,556,900
  5. Step 5: Solve for x
    x = 4,439,556,900/45,310
  6. Step 6: Final answer
    x = 97,981.83

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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.