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Finding the Third Proportional to 36,924 and 55,428

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Solution

The third proportional to 36,924 and 55,428 is: 83,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,924 : 55,428 = 55,428 : x
  2. Step 2: Convert to fraction form
    36,924/55,428 = 55,428/x
  3. Step 3: Cross multiply
    36,924x = 55,428 × 55,428
  4. Step 4: Simplify right side
    36,924x = 3,072,263,184
  5. Step 5: Solve for x
    x = 3,072,263,184/36,924
  6. Step 6: Final answer
    x = 83,205.05

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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.