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Finding the Third Proportional to 25,312 and 37,761

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Solution

The third proportional to 25,312 and 37,761 is: 56,332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,312 : 37,761 = 37,761 : x
  2. Step 2: Convert to fraction form
    25,312/37,761 = 37,761/x
  3. Step 3: Cross multiply
    25,312x = 37,761 × 37,761
  4. Step 4: Simplify right side
    25,312x = 1,425,893,121
  5. Step 5: Solve for x
    x = 1,425,893,121/25,312
  6. Step 6: Final answer
    x = 56,332.69

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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.