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Finding the Third Proportional to 39,835.50 and 54,127.50

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Solution

The third proportional to 39,835.50 and 54,127.50 is: 73,547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,835.50 : 54,127.50 = 54,127.50 : x
  2. Step 2: Convert to fraction form
    39,835.50/54,127.50 = 54,127.50/x
  3. Step 3: Cross multiply
    39,835.50x = 54,127.50 × 54,127.50
  4. Step 4: Simplify right side
    39,835.50x = 2,929,786,256.25
  5. Step 5: Solve for x
    x = 2,929,786,256.25/39,835.50
  6. Step 6: Final answer
    x = 73,547.12

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.