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Finding the Third Proportional to 30,697 and 45,037

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Solution

The third proportional to 30,697 and 45,037 is: 66,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697 : 45,037 = 45,037 : x
  2. Step 2: Convert to fraction form
    30,697/45,037 = 45,037/x
  3. Step 3: Cross multiply
    30,697x = 45,037 × 45,037
  4. Step 4: Simplify right side
    30,697x = 2,028,331,369
  5. Step 5: Solve for x
    x = 2,028,331,369/30,697
  6. Step 6: Final answer
    x = 66,075.88

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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.