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Finding the Third Proportional to 46,037 and 67,597

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Solution

The third proportional to 46,037 and 67,597 is: 99,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,037 : 67,597 = 67,597 : x
  2. Step 2: Convert to fraction form
    46,037/67,597 = 67,597/x
  3. Step 3: Cross multiply
    46,037x = 67,597 × 67,597
  4. Step 4: Simplify right side
    46,037x = 4,569,354,409
  5. Step 5: Solve for x
    x = 4,569,354,409/46,037
  6. Step 6: Final answer
    x = 99,253.96

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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.