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Finding the Third Proportional to 38,548 and 61,629

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Solution

The third proportional to 38,548 and 61,629 is: 98,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,548 : 61,629 = 61,629 : x
  2. Step 2: Convert to fraction form
    38,548/61,629 = 61,629/x
  3. Step 3: Cross multiply
    38,548x = 61,629 × 61,629
  4. Step 4: Simplify right side
    38,548x = 3,798,133,641
  5. Step 5: Solve for x
    x = 3,798,133,641/38,548
  6. Step 6: Final answer
    x = 98,529.98

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.