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Finding the Third Proportional to 24,145.88 and 53,475.75

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Solution

The third proportional to 24,145.88 and 53,475.75 is: 118,432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,145.88 : 53,475.75 = 53,475.75 : x
  2. Step 2: Convert to fraction form
    24,145.88/53,475.75 = 53,475.75/x
  3. Step 3: Cross multiply
    24,145.88x = 53,475.75 × 53,475.75
  4. Step 4: Simplify right side
    24,145.88x = 2,859,655,838.06
  5. Step 5: Solve for x
    x = 2,859,655,838.06/24,145.88
  6. Step 6: Final answer
    x = 118,432.48

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.