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Finding the Third Proportional to 24,567.75 and 58,502.25

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Solution

The third proportional to 24,567.75 and 58,502.25 is: 139,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,567.75 : 58,502.25 = 58,502.25 : x
  2. Step 2: Convert to fraction form
    24,567.75/58,502.25 = 58,502.25/x
  3. Step 3: Cross multiply
    24,567.75x = 58,502.25 × 58,502.25
  4. Step 4: Simplify right side
    24,567.75x = 3,422,513,255.06
  5. Step 5: Solve for x
    x = 3,422,513,255.06/24,567.75
  6. Step 6: Final answer
    x = 139,309.19

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.