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Finding the Third Proportional to 24,135.75 and 50,477.16

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Solution

The third proportional to 24,135.75 and 50,477.16 is: 105,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,135.75 : 50,477.16 = 50,477.16 : x
  2. Step 2: Convert to fraction form
    24,135.75/50,477.16 = 50,477.16/x
  3. Step 3: Cross multiply
    24,135.75x = 50,477.16 × 50,477.16
  4. Step 4: Simplify right side
    24,135.75x = 2,547,943,303.09
  5. Step 5: Solve for x
    x = 2,547,943,303.09/24,135.75
  6. Step 6: Final answer
    x = 105,567.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.