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Finding the Third Proportional to 24,642 and 53,437.50

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Solution

The third proportional to 24,642 and 53,437.50 is: 115,882.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642 : 53,437.50 = 53,437.50 : x
  2. Step 2: Convert to fraction form
    24,642/53,437.50 = 53,437.50/x
  3. Step 3: Cross multiply
    24,642x = 53,437.50 × 53,437.50
  4. Step 4: Simplify right side
    24,642x = 2,855,566,406.25
  5. Step 5: Solve for x
    x = 2,855,566,406.25/24,642
  6. Step 6: Final answer
    x = 115,882.09

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Why These Related Problems?

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