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Finding the Third Proportional to 48,770 and 72,835

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Solution

The third proportional to 48,770 and 72,835 is: 108,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,770 : 72,835 = 72,835 : x
  2. Step 2: Convert to fraction form
    48,770/72,835 = 72,835/x
  3. Step 3: Cross multiply
    48,770x = 72,835 × 72,835
  4. Step 4: Simplify right side
    48,770x = 5,304,937,225
  5. Step 5: Solve for x
    x = 5,304,937,225/48,770
  6. Step 6: Final answer
    x = 108,774.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.