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Finding the Third Proportional to 19,705 and 43,237

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Solution

The third proportional to 19,705 and 43,237 is: 94,871.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705 : 43,237 = 43,237 : x
  2. Step 2: Convert to fraction form
    19,705/43,237 = 43,237/x
  3. Step 3: Cross multiply
    19,705x = 43,237 × 43,237
  4. Step 4: Simplify right side
    19,705x = 1,869,438,169
  5. Step 5: Solve for x
    x = 1,869,438,169/19,705
  6. Step 6: Final answer
    x = 94,871.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.