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Finding the Third Proportional to 42,890.50 and 65,065

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Solution

The third proportional to 42,890.50 and 65,065 is: 98,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,890.50 : 65,065 = 65,065 : x
  2. Step 2: Convert to fraction form
    42,890.50/65,065 = 65,065/x
  3. Step 3: Cross multiply
    42,890.50x = 65,065 × 65,065
  4. Step 4: Simplify right side
    42,890.50x = 4,233,454,225
  5. Step 5: Solve for x
    x = 4,233,454,225/42,890.50
  6. Step 6: Final answer
    x = 98,703.77

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.