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Finding the Third Proportional to 51,347.25 and 68,681.25

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Solution

The third proportional to 51,347.25 and 68,681.25 is: 91,866.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,347.25 : 68,681.25 = 68,681.25 : x
  2. Step 2: Convert to fraction form
    51,347.25/68,681.25 = 68,681.25/x
  3. Step 3: Cross multiply
    51,347.25x = 68,681.25 × 68,681.25
  4. Step 4: Simplify right side
    51,347.25x = 4,717,114,101.56
  5. Step 5: Solve for x
    x = 4,717,114,101.56/51,347.25
  6. Step 6: Final answer
    x = 91,866.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.