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Finding the Third Proportional to 29,322 and 45,247.50

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Solution

The third proportional to 29,322 and 45,247.50 is: 69,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,322 : 45,247.50 = 45,247.50 : x
  2. Step 2: Convert to fraction form
    29,322/45,247.50 = 45,247.50/x
  3. Step 3: Cross multiply
    29,322x = 45,247.50 × 45,247.50
  4. Step 4: Simplify right side
    29,322x = 2,047,336,256.25
  5. Step 5: Solve for x
    x = 2,047,336,256.25/29,322
  6. Step 6: Final answer
    x = 69,822.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.