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Finding the Third Proportional to 15,752.25 and 22,081.50

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Solution

The third proportional to 15,752.25 and 22,081.50 is: 30,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.25 : 22,081.50 = 22,081.50 : x
  2. Step 2: Convert to fraction form
    15,752.25/22,081.50 = 22,081.50/x
  3. Step 3: Cross multiply
    15,752.25x = 22,081.50 × 22,081.50
  4. Step 4: Simplify right side
    15,752.25x = 487,592,642.25
  5. Step 5: Solve for x
    x = 487,592,642.25/15,752.25
  6. Step 6: Final answer
    x = 30,953.84

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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.