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Finding the Third Proportional to 35,076 and 52,989

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Solution

The third proportional to 35,076 and 52,989 is: 80,050.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,076 : 52,989 = 52,989 : x
  2. Step 2: Convert to fraction form
    35,076/52,989 = 52,989/x
  3. Step 3: Cross multiply
    35,076x = 52,989 × 52,989
  4. Step 4: Simplify right side
    35,076x = 2,807,834,121
  5. Step 5: Solve for x
    x = 2,807,834,121/35,076
  6. Step 6: Final answer
    x = 80,050.01

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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.