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Finding the Third Proportional to 30,726 and 45,893.25

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Solution

The third proportional to 30,726 and 45,893.25 is: 68,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,726 : 45,893.25 = 45,893.25 : x
  2. Step 2: Convert to fraction form
    30,726/45,893.25 = 45,893.25/x
  3. Step 3: Cross multiply
    30,726x = 45,893.25 × 45,893.25
  4. Step 4: Simplify right side
    30,726x = 2,106,190,395.56
  5. Step 5: Solve for x
    x = 2,106,190,395.56/30,726
  6. Step 6: Final answer
    x = 68,547.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.