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Finding the Third Proportional to 39,130.50 and 58,465.50

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Solution

The third proportional to 39,130.50 and 58,465.50 is: 87,354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,130.50 : 58,465.50 = 58,465.50 : x
  2. Step 2: Convert to fraction form
    39,130.50/58,465.50 = 58,465.50/x
  3. Step 3: Cross multiply
    39,130.50x = 58,465.50 × 58,465.50
  4. Step 4: Simplify right side
    39,130.50x = 3,418,214,690.25
  5. Step 5: Solve for x
    x = 3,418,214,690.25/39,130.50
  6. Step 6: Final answer
    x = 87,354.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.