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Finding the Third Proportional to 30,503 and 48,702

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Solution

The third proportional to 30,503 and 48,702 is: 77,759.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,503 : 48,702 = 48,702 : x
  2. Step 2: Convert to fraction form
    30,503/48,702 = 48,702/x
  3. Step 3: Cross multiply
    30,503x = 48,702 × 48,702
  4. Step 4: Simplify right side
    30,503x = 2,371,884,804
  5. Step 5: Solve for x
    x = 2,371,884,804/30,503
  6. Step 6: Final answer
    x = 77,759.07

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.