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Finding the Third Proportional to 24,070 and 35,377

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Solution

The third proportional to 24,070 and 35,377 is: 51,995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,070 : 35,377 = 35,377 : x
  2. Step 2: Convert to fraction form
    24,070/35,377 = 35,377/x
  3. Step 3: Cross multiply
    24,070x = 35,377 × 35,377
  4. Step 4: Simplify right side
    24,070x = 1,251,532,129
  5. Step 5: Solve for x
    x = 1,251,532,129/24,070
  6. Step 6: Final answer
    x = 51,995.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.