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Finding the Third Proportional to 24,040 and 35,130

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Solution

The third proportional to 24,040 and 35,130 is: 51,335.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,040 : 35,130 = 35,130 : x
  2. Step 2: Convert to fraction form
    24,040/35,130 = 35,130/x
  3. Step 3: Cross multiply
    24,040x = 35,130 × 35,130
  4. Step 4: Simplify right side
    24,040x = 1,234,116,900
  5. Step 5: Solve for x
    x = 1,234,116,900/24,040
  6. Step 6: Final answer
    x = 51,335.98

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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.