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Finding the Third Proportional to 25,331 and 37,854

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Solution

The third proportional to 25,331 and 37,854 is: 56,568.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,331 : 37,854 = 37,854 : x
  2. Step 2: Convert to fraction form
    25,331/37,854 = 37,854/x
  3. Step 3: Cross multiply
    25,331x = 37,854 × 37,854
  4. Step 4: Simplify right side
    25,331x = 1,432,925,316
  5. Step 5: Solve for x
    x = 1,432,925,316/25,331
  6. Step 6: Final answer
    x = 56,568.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.