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Finding the Third Proportional to 27,931.50 and 39,070.50

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Solution

The third proportional to 27,931.50 and 39,070.50 is: 54,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,931.50 : 39,070.50 = 39,070.50 : x
  2. Step 2: Convert to fraction form
    27,931.50/39,070.50 = 39,070.50/x
  3. Step 3: Cross multiply
    27,931.50x = 39,070.50 × 39,070.50
  4. Step 4: Simplify right side
    27,931.50x = 1,526,503,970.25
  5. Step 5: Solve for x
    x = 1,526,503,970.25/27,931.50
  6. Step 6: Final answer
    x = 54,651.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.