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Finding the Third Proportional to 55,962.75 and 77,564.25

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Solution

The third proportional to 55,962.75 and 77,564.25 is: 107,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,962.75 : 77,564.25 = 77,564.25 : x
  2. Step 2: Convert to fraction form
    55,962.75/77,564.25 = 77,564.25/x
  3. Step 3: Cross multiply
    55,962.75x = 77,564.25 × 77,564.25
  4. Step 4: Simplify right side
    55,962.75x = 6,016,212,878.06
  5. Step 5: Solve for x
    x = 6,016,212,878.06/55,962.75
  6. Step 6: Final answer
    x = 107,503.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.