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Finding the Third Proportional to 24,503.63 and 53,156.25

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Solution

The third proportional to 24,503.63 and 53,156.25 is: 115,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503.63 : 53,156.25 = 53,156.25 : x
  2. Step 2: Convert to fraction form
    24,503.63/53,156.25 = 53,156.25/x
  3. Step 3: Cross multiply
    24,503.63x = 53,156.25 × 53,156.25
  4. Step 4: Simplify right side
    24,503.63x = 2,825,586,914.06
  5. Step 5: Solve for x
    x = 2,825,586,914.06/24,503.63
  6. Step 6: Final answer
    x = 115,313.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.