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Finding the Third Proportional to 12,453.75 and 29,575.13

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Solution

The third proportional to 12,453.75 and 29,575.13 is: 70,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453.75 : 29,575.13 = 29,575.13 : x
  2. Step 2: Convert to fraction form
    12,453.75/29,575.13 = 29,575.13/x
  3. Step 3: Cross multiply
    12,453.75x = 29,575.13 × 29,575.13
  4. Step 4: Simplify right side
    12,453.75x = 874,688,018.77
  5. Step 5: Solve for x
    x = 874,688,018.77/12,453.75
  6. Step 6: Final answer
    x = 70,234.91

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.