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Finding the Third Proportional to 29,201.50 and 45,756.50

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Solution

The third proportional to 29,201.50 and 45,756.50 is: 71,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,201.50 : 45,756.50 = 45,756.50 : x
  2. Step 2: Convert to fraction form
    29,201.50/45,756.50 = 45,756.50/x
  3. Step 3: Cross multiply
    29,201.50x = 45,756.50 × 45,756.50
  4. Step 4: Simplify right side
    29,201.50x = 2,093,657,292.25
  5. Step 5: Solve for x
    x = 2,093,657,292.25/29,201.50
  6. Step 6: Final answer
    x = 71,696.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.