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Finding the Third Proportional to 30,735 and 48,870

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Solution

The third proportional to 30,735 and 48,870 is: 77,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735 : 48,870 = 48,870 : x
  2. Step 2: Convert to fraction form
    30,735/48,870 = 48,870/x
  3. Step 3: Cross multiply
    30,735x = 48,870 × 48,870
  4. Step 4: Simplify right side
    30,735x = 2,388,276,900
  5. Step 5: Solve for x
    x = 2,388,276,900/30,735
  6. Step 6: Final answer
    x = 77,705.45

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.