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Finding the Third Proportional to 24,573.38 and 52,085.53

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Solution

The third proportional to 24,573.38 and 52,085.53 is: 110,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,573.38 : 52,085.53 = 52,085.53 : x
  2. Step 2: Convert to fraction form
    24,573.38/52,085.53 = 52,085.53/x
  3. Step 3: Cross multiply
    24,573.38x = 52,085.53 × 52,085.53
  4. Step 4: Simplify right side
    24,573.38x = 2,712,902,565.59
  5. Step 5: Solve for x
    x = 2,712,902,565.59/24,573.38
  6. Step 6: Final answer
    x = 110,400.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.