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Finding the Third Proportional to 31,905 and 46,870.50

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Solution

The third proportional to 31,905 and 46,870.50 is: 68,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,905 : 46,870.50 = 46,870.50 : x
  2. Step 2: Convert to fraction form
    31,905/46,870.50 = 46,870.50/x
  3. Step 3: Cross multiply
    31,905x = 46,870.50 × 46,870.50
  4. Step 4: Simplify right side
    31,905x = 2,196,843,770.25
  5. Step 5: Solve for x
    x = 2,196,843,770.25/31,905
  6. Step 6: Final answer
    x = 68,855.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.