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Finding the Third Proportional to 24,802.31 and 53,492.63

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Solution

The third proportional to 24,802.31 and 53,492.63 is: 115,370.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.31 : 53,492.63 = 53,492.63 : x
  2. Step 2: Convert to fraction form
    24,802.31/53,492.63 = 53,492.63/x
  3. Step 3: Cross multiply
    24,802.31x = 53,492.63 × 53,492.63
  4. Step 4: Simplify right side
    24,802.31x = 2,861,460,929.39
  5. Step 5: Solve for x
    x = 2,861,460,929.39/24,802.31
  6. Step 6: Final answer
    x = 115,370.73

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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.