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Finding the Third Proportional to 24,533.25 and 52,952.25

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Solution

The third proportional to 24,533.25 and 52,952.25 is: 114,291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,533.25 : 52,952.25 = 52,952.25 : x
  2. Step 2: Convert to fraction form
    24,533.25/52,952.25 = 52,952.25/x
  3. Step 3: Cross multiply
    24,533.25x = 52,952.25 × 52,952.25
  4. Step 4: Simplify right side
    24,533.25x = 2,803,940,780.06
  5. Step 5: Solve for x
    x = 2,803,940,780.06/24,533.25
  6. Step 6: Final answer
    x = 114,291.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.