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Finding the Third Proportional to 29,032.03 and 42,427.78

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Solution

The third proportional to 29,032.03 and 42,427.78 is: 62,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,032.03 : 42,427.78 = 42,427.78 : x
  2. Step 2: Convert to fraction form
    29,032.03/42,427.78 = 42,427.78/x
  3. Step 3: Cross multiply
    29,032.03x = 42,427.78 × 42,427.78
  4. Step 4: Simplify right side
    29,032.03x = 1,800,116,621.80
  5. Step 5: Solve for x
    x = 1,800,116,621.80/29,032.03
  6. Step 6: Final answer
    x = 62,004.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.