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Finding the Third Proportional to 46,537.50 and 62,424

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Solution

The third proportional to 46,537.50 and 62,424 is: 83,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,537.50 : 62,424 = 62,424 : x
  2. Step 2: Convert to fraction form
    46,537.50/62,424 = 62,424/x
  3. Step 3: Cross multiply
    46,537.50x = 62,424 × 62,424
  4. Step 4: Simplify right side
    46,537.50x = 3,896,755,776
  5. Step 5: Solve for x
    x = 3,896,755,776/46,537.50
  6. Step 6: Final answer
    x = 83,733.67

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.