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Finding the Third Proportional to 35,270 and 54,585

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Solution

The third proportional to 35,270 and 54,585 is: 84,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,270 : 54,585 = 54,585 : x
  2. Step 2: Convert to fraction form
    35,270/54,585 = 54,585/x
  3. Step 3: Cross multiply
    35,270x = 54,585 × 54,585
  4. Step 4: Simplify right side
    35,270x = 2,979,522,225
  5. Step 5: Solve for x
    x = 2,979,522,225/35,270
  6. Step 6: Final answer
    x = 84,477.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.