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Finding the Third Proportional to 28,702 and 40,430

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Solution

The third proportional to 28,702 and 40,430 is: 56,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,702 : 40,430 = 40,430 : x
  2. Step 2: Convert to fraction form
    28,702/40,430 = 40,430/x
  3. Step 3: Cross multiply
    28,702x = 40,430 × 40,430
  4. Step 4: Simplify right side
    28,702x = 1,634,584,900
  5. Step 5: Solve for x
    x = 1,634,584,900/28,702
  6. Step 6: Final answer
    x = 56,950.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.