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Finding the Third Proportional to 47,254 and 63,051

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Solution

The third proportional to 47,254 and 63,051 is: 84,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,254 : 63,051 = 63,051 : x
  2. Step 2: Convert to fraction form
    47,254/63,051 = 63,051/x
  3. Step 3: Cross multiply
    47,254x = 63,051 × 63,051
  4. Step 4: Simplify right side
    47,254x = 3,975,428,601
  5. Step 5: Solve for x
    x = 3,975,428,601/47,254
  6. Step 6: Final answer
    x = 84,128.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.