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Finding the Third Proportional to 31,232 and 49,953

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Solution

The third proportional to 31,232 and 49,953 is: 79,895.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,232 : 49,953 = 49,953 : x
  2. Step 2: Convert to fraction form
    31,232/49,953 = 49,953/x
  3. Step 3: Cross multiply
    31,232x = 49,953 × 49,953
  4. Step 4: Simplify right side
    31,232x = 2,495,302,209
  5. Step 5: Solve for x
    x = 2,495,302,209/31,232
  6. Step 6: Final answer
    x = 79,895.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.