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Finding the Third Proportional to 35,808 and 62,160

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Solution

The third proportional to 35,808 and 62,160 is: 107,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,808 : 62,160 = 62,160 : x
  2. Step 2: Convert to fraction form
    35,808/62,160 = 62,160/x
  3. Step 3: Cross multiply
    35,808x = 62,160 × 62,160
  4. Step 4: Simplify right side
    35,808x = 3,863,865,600
  5. Step 5: Solve for x
    x = 3,863,865,600/35,808
  6. Step 6: Final answer
    x = 107,905.09

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.