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Finding the Third Proportional to 52,032.38 and 74,352.94

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Solution

The third proportional to 52,032.38 and 74,352.94 is: 106,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,032.38 : 74,352.94 = 74,352.94 : x
  2. Step 2: Convert to fraction form
    52,032.38/74,352.94 = 74,352.94/x
  3. Step 3: Cross multiply
    52,032.38x = 74,352.94 × 74,352.94
  4. Step 4: Simplify right side
    52,032.38x = 5,528,359,314.88
  5. Step 5: Solve for x
    x = 5,528,359,314.88/52,032.38
  6. Step 6: Final answer
    x = 106,248.45

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.