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Finding the Third Proportional to 35,014 and 75,557

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Solution

The third proportional to 35,014 and 75,557 is: 163,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,014 : 75,557 = 75,557 : x
  2. Step 2: Convert to fraction form
    35,014/75,557 = 75,557/x
  3. Step 3: Cross multiply
    35,014x = 75,557 × 75,557
  4. Step 4: Simplify right side
    35,014x = 5,708,860,249
  5. Step 5: Solve for x
    x = 5,708,860,249/35,014
  6. Step 6: Final answer
    x = 163,045.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.