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Finding the Third Proportional to 35,460 and 74,564

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Solution

The third proportional to 35,460 and 74,564 is: 156,790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,460 : 74,564 = 74,564 : x
  2. Step 2: Convert to fraction form
    35,460/74,564 = 74,564/x
  3. Step 3: Cross multiply
    35,460x = 74,564 × 74,564
  4. Step 4: Simplify right side
    35,460x = 5,559,790,096
  5. Step 5: Solve for x
    x = 5,559,790,096/35,460
  6. Step 6: Final answer
    x = 156,790.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.