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Finding the Third Proportional to 24,315.19 and 52,457.63

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Solution

The third proportional to 24,315.19 and 52,457.63 is: 113,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315.19 : 52,457.63 = 52,457.63 : x
  2. Step 2: Convert to fraction form
    24,315.19/52,457.63 = 52,457.63/x
  3. Step 3: Cross multiply
    24,315.19x = 52,457.63 × 52,457.63
  4. Step 4: Simplify right side
    24,315.19x = 2,751,802,420.64
  5. Step 5: Solve for x
    x = 2,751,802,420.64/24,315.19
  6. Step 6: Final answer
    x = 113,172.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.