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Finding the Third Proportional to 52,507.50 and 77,937

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Solution

The third proportional to 52,507.50 and 77,937 is: 115,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,507.50 : 77,937 = 77,937 : x
  2. Step 2: Convert to fraction form
    52,507.50/77,937 = 77,937/x
  3. Step 3: Cross multiply
    52,507.50x = 77,937 × 77,937
  4. Step 4: Simplify right side
    52,507.50x = 6,074,175,969
  5. Step 5: Solve for x
    x = 6,074,175,969/52,507.50
  6. Step 6: Final answer
    x = 115,682.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.