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Finding the Third Proportional to 35,294 and 54,670

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Solution

The third proportional to 35,294 and 54,670 is: 84,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,294 : 54,670 = 54,670 : x
  2. Step 2: Convert to fraction form
    35,294/54,670 = 54,670/x
  3. Step 3: Cross multiply
    35,294x = 54,670 × 54,670
  4. Step 4: Simplify right side
    35,294x = 2,988,808,900
  5. Step 5: Solve for x
    x = 2,988,808,900/35,294
  6. Step 6: Final answer
    x = 84,683.20

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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.