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Finding the Third Proportional to 51,597 and 77,395.50

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Solution

The third proportional to 51,597 and 77,395.50 is: 116,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,597 : 77,395.50 = 77,395.50 : x
  2. Step 2: Convert to fraction form
    51,597/77,395.50 = 77,395.50/x
  3. Step 3: Cross multiply
    51,597x = 77,395.50 × 77,395.50
  4. Step 4: Simplify right side
    51,597x = 5,990,063,420.25
  5. Step 5: Solve for x
    x = 5,990,063,420.25/51,597
  6. Step 6: Final answer
    x = 116,093.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.