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Finding the Third Proportional to 37,044 and 55,570

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Solution

The third proportional to 37,044 and 55,570 is: 83,361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,044 : 55,570 = 55,570 : x
  2. Step 2: Convert to fraction form
    37,044/55,570 = 55,570/x
  3. Step 3: Cross multiply
    37,044x = 55,570 × 55,570
  4. Step 4: Simplify right side
    37,044x = 3,088,024,900
  5. Step 5: Solve for x
    x = 3,088,024,900/37,044
  6. Step 6: Final answer
    x = 83,361.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.