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Finding the Third Proportional to 35,896 and 77,532

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Solution

The third proportional to 35,896 and 77,532 is: 167,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,896 : 77,532 = 77,532 : x
  2. Step 2: Convert to fraction form
    35,896/77,532 = 77,532/x
  3. Step 3: Cross multiply
    35,896x = 77,532 × 77,532
  4. Step 4: Simplify right side
    35,896x = 6,011,211,024
  5. Step 5: Solve for x
    x = 6,011,211,024/35,896
  6. Step 6: Final answer
    x = 167,461.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.