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Finding the Third Proportional to 37,042 and 51,854

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Solution

The third proportional to 37,042 and 51,854 is: 72,588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,042 : 51,854 = 51,854 : x
  2. Step 2: Convert to fraction form
    37,042/51,854 = 51,854/x
  3. Step 3: Cross multiply
    37,042x = 51,854 × 51,854
  4. Step 4: Simplify right side
    37,042x = 2,688,837,316
  5. Step 5: Solve for x
    x = 2,688,837,316/37,042
  6. Step 6: Final answer
    x = 72,588.88

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.