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Finding the Third Proportional to 24,598.13 and 35,929.13

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Solution

The third proportional to 24,598.13 and 35,929.13 is: 52,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,598.13 : 35,929.13 = 35,929.13 : x
  2. Step 2: Convert to fraction form
    24,598.13/35,929.13 = 35,929.13/x
  3. Step 3: Cross multiply
    24,598.13x = 35,929.13 × 35,929.13
  4. Step 4: Simplify right side
    24,598.13x = 1,290,902,023.27
  5. Step 5: Solve for x
    x = 1,290,902,023.27/24,598.13
  6. Step 6: Final answer
    x = 52,479.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.