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Finding the Third Proportional to 24,020 and 35,407

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Solution

The third proportional to 24,020 and 35,407 is: 52,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,020 : 35,407 = 35,407 : x
  2. Step 2: Convert to fraction form
    24,020/35,407 = 35,407/x
  3. Step 3: Cross multiply
    24,020x = 35,407 × 35,407
  4. Step 4: Simplify right side
    24,020x = 1,253,655,649
  5. Step 5: Solve for x
    x = 1,253,655,649/24,020
  6. Step 6: Final answer
    x = 52,192.16

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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.