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Finding the Third Proportional to 31,943 and 50,547

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Solution

The third proportional to 31,943 and 50,547 is: 79,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,943 : 50,547 = 50,547 : x
  2. Step 2: Convert to fraction form
    31,943/50,547 = 50,547/x
  3. Step 3: Cross multiply
    31,943x = 50,547 × 50,547
  4. Step 4: Simplify right side
    31,943x = 2,554,999,209
  5. Step 5: Solve for x
    x = 2,554,999,209/31,943
  6. Step 6: Final answer
    x = 79,986.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.