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Finding the Third Proportional to 28,813.50 and 42,557

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Solution

The third proportional to 28,813.50 and 42,557 is: 62,855.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,813.50 : 42,557 = 42,557 : x
  2. Step 2: Convert to fraction form
    28,813.50/42,557 = 42,557/x
  3. Step 3: Cross multiply
    28,813.50x = 42,557 × 42,557
  4. Step 4: Simplify right side
    28,813.50x = 1,811,098,249
  5. Step 5: Solve for x
    x = 1,811,098,249/28,813.50
  6. Step 6: Final answer
    x = 62,855.89

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.