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Finding the Third Proportional to 35,712 and 51,017

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Solution

The third proportional to 35,712 and 51,017 is: 72,881.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712 : 51,017 = 51,017 : x
  2. Step 2: Convert to fraction form
    35,712/51,017 = 51,017/x
  3. Step 3: Cross multiply
    35,712x = 51,017 × 51,017
  4. Step 4: Simplify right side
    35,712x = 2,602,734,289
  5. Step 5: Solve for x
    x = 2,602,734,289/35,712
  6. Step 6: Final answer
    x = 72,881.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.