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Finding the Third Proportional to 35,408 and 53,386

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Solution

The third proportional to 35,408 and 53,386 is: 80,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,408 : 53,386 = 53,386 : x
  2. Step 2: Convert to fraction form
    35,408/53,386 = 53,386/x
  3. Step 3: Cross multiply
    35,408x = 53,386 × 53,386
  4. Step 4: Simplify right side
    35,408x = 2,850,064,996
  5. Step 5: Solve for x
    x = 2,850,064,996/35,408
  6. Step 6: Final answer
    x = 80,492.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.