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Finding the Third Proportional to 15,719.44 and 24,536.06

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Solution

The third proportional to 15,719.44 and 24,536.06 is: 38,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,719.44 : 24,536.06 = 24,536.06 : x
  2. Step 2: Convert to fraction form
    15,719.44/24,536.06 = 24,536.06/x
  3. Step 3: Cross multiply
    15,719.44x = 24,536.06 × 24,536.06
  4. Step 4: Simplify right side
    15,719.44x = 602,018,363.00
  5. Step 5: Solve for x
    x = 602,018,363.00/15,719.44
  6. Step 6: Final answer
    x = 38,297.70

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.