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Finding the Third Proportional to 24,356.95 and 53,122.08

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Solution

The third proportional to 24,356.95 and 53,122.08 is: 115,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356.95 : 53,122.08 = 53,122.08 : x
  2. Step 2: Convert to fraction form
    24,356.95/53,122.08 = 53,122.08/x
  3. Step 3: Cross multiply
    24,356.95x = 53,122.08 × 53,122.08
  4. Step 4: Simplify right side
    24,356.95x = 2,821,955,184.32
  5. Step 5: Solve for x
    x = 2,821,955,184.32/24,356.95
  6. Step 6: Final answer
    x = 115,858.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.