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Finding the Third Proportional to 39,402 and 59,830.50

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Solution

The third proportional to 39,402 and 59,830.50 is: 90,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,402 : 59,830.50 = 59,830.50 : x
  2. Step 2: Convert to fraction form
    39,402/59,830.50 = 59,830.50/x
  3. Step 3: Cross multiply
    39,402x = 59,830.50 × 59,830.50
  4. Step 4: Simplify right side
    39,402x = 3,579,688,730.25
  5. Step 5: Solve for x
    x = 3,579,688,730.25/39,402
  6. Step 6: Final answer
    x = 90,850.43

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.