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Finding the Third Proportional to 53,482 and 83,877

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Solution

The third proportional to 53,482 and 83,877 is: 131,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,482 : 83,877 = 83,877 : x
  2. Step 2: Convert to fraction form
    53,482/83,877 = 83,877/x
  3. Step 3: Cross multiply
    53,482x = 83,877 × 83,877
  4. Step 4: Simplify right side
    53,482x = 7,035,351,129
  5. Step 5: Solve for x
    x = 7,035,351,129/53,482
  6. Step 6: Final answer
    x = 131,546.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.