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Finding the Third Proportional to 29,357.25 and 45,476.25

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Solution

The third proportional to 29,357.25 and 45,476.25 is: 70,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,357.25 : 45,476.25 = 45,476.25 : x
  2. Step 2: Convert to fraction form
    29,357.25/45,476.25 = 45,476.25/x
  3. Step 3: Cross multiply
    29,357.25x = 45,476.25 × 45,476.25
  4. Step 4: Simplify right side
    29,357.25x = 2,068,089,314.06
  5. Step 5: Solve for x
    x = 2,068,089,314.06/29,357.25
  6. Step 6: Final answer
    x = 70,445.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.