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Finding the Third Proportional to 24,506 and 35,814

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Solution

The third proportional to 24,506 and 35,814 is: 52,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506 : 35,814 = 35,814 : x
  2. Step 2: Convert to fraction form
    24,506/35,814 = 35,814/x
  3. Step 3: Cross multiply
    24,506x = 35,814 × 35,814
  4. Step 4: Simplify right side
    24,506x = 1,282,642,596
  5. Step 5: Solve for x
    x = 1,282,642,596/24,506
  6. Step 6: Final answer
    x = 52,339.94

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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.