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Finding the Third Proportional to 24,985.13 and 53,659.13

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Solution

The third proportional to 24,985.13 and 53,659.13 is: 115,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,985.13 : 53,659.13 = 53,659.13 : x
  2. Step 2: Convert to fraction form
    24,985.13/53,659.13 = 53,659.13/x
  3. Step 3: Cross multiply
    24,985.13x = 53,659.13 × 53,659.13
  4. Step 4: Simplify right side
    24,985.13x = 2,879,301,695.77
  5. Step 5: Solve for x
    x = 2,879,301,695.77/24,985.13
  6. Step 6: Final answer
    x = 115,240.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.