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Finding the Third Proportional to 25,184.50 and 37,080.50

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Solution

The third proportional to 25,184.50 and 37,080.50 is: 54,595.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,184.50 : 37,080.50 = 37,080.50 : x
  2. Step 2: Convert to fraction form
    25,184.50/37,080.50 = 37,080.50/x
  3. Step 3: Cross multiply
    25,184.50x = 37,080.50 × 37,080.50
  4. Step 4: Simplify right side
    25,184.50x = 1,374,963,480.25
  5. Step 5: Solve for x
    x = 1,374,963,480.25/25,184.50
  6. Step 6: Final answer
    x = 54,595.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.