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Finding the Third Proportional to 24,046 and 35,139

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Solution

The third proportional to 24,046 and 35,139 is: 51,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,046 : 35,139 = 35,139 : x
  2. Step 2: Convert to fraction form
    24,046/35,139 = 35,139/x
  3. Step 3: Cross multiply
    24,046x = 35,139 × 35,139
  4. Step 4: Simplify right side
    24,046x = 1,234,749,321
  5. Step 5: Solve for x
    x = 1,234,749,321/24,046
  6. Step 6: Final answer
    x = 51,349.47

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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.