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Finding the Third Proportional to 35,376 and 55,220

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Solution

The third proportional to 35,376 and 55,220 is: 86,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,376 : 55,220 = 55,220 : x
  2. Step 2: Convert to fraction form
    35,376/55,220 = 55,220/x
  3. Step 3: Cross multiply
    35,376x = 55,220 × 55,220
  4. Step 4: Simplify right side
    35,376x = 3,049,248,400
  5. Step 5: Solve for x
    x = 3,049,248,400/35,376
  6. Step 6: Final answer
    x = 86,195.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.