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Finding the Third Proportional to 24,970.78 and 53,119.55

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Solution

The third proportional to 24,970.78 and 53,119.55 is: 112,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,970.78 : 53,119.55 = 53,119.55 : x
  2. Step 2: Convert to fraction form
    24,970.78/53,119.55 = 53,119.55/x
  3. Step 3: Cross multiply
    24,970.78x = 53,119.55 × 53,119.55
  4. Step 4: Simplify right side
    24,970.78x = 2,821,686,260.21
  5. Step 5: Solve for x
    x = 2,821,686,260.21/24,970.78
  6. Step 6: Final answer
    x = 112,999.52

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.