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Finding the Third Proportional to 24,036.75 and 30,520.13

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Solution

The third proportional to 24,036.75 and 30,520.13 is: 38,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,036.75 : 30,520.13 = 30,520.13 : x
  2. Step 2: Convert to fraction form
    24,036.75/30,520.13 = 30,520.13/x
  3. Step 3: Cross multiply
    24,036.75x = 30,520.13 × 30,520.13
  4. Step 4: Simplify right side
    24,036.75x = 931,478,030.02
  5. Step 5: Solve for x
    x = 931,478,030.02/24,036.75
  6. Step 6: Final answer
    x = 38,752.25

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.