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Finding the Third Proportional to 48,970 and 66,433

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Solution

The third proportional to 48,970 and 66,433 is: 90,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,970 : 66,433 = 66,433 : x
  2. Step 2: Convert to fraction form
    48,970/66,433 = 66,433/x
  3. Step 3: Cross multiply
    48,970x = 66,433 × 66,433
  4. Step 4: Simplify right side
    48,970x = 4,413,343,489
  5. Step 5: Solve for x
    x = 4,413,343,489/48,970
  6. Step 6: Final answer
    x = 90,123.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.