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Finding the Third Proportional to 42,280 and 65,557

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Solution

The third proportional to 42,280 and 65,557 is: 101,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,280 : 65,557 = 65,557 : x
  2. Step 2: Convert to fraction form
    42,280/65,557 = 65,557/x
  3. Step 3: Cross multiply
    42,280x = 65,557 × 65,557
  4. Step 4: Simplify right side
    42,280x = 4,297,720,249
  5. Step 5: Solve for x
    x = 4,297,720,249/42,280
  6. Step 6: Final answer
    x = 101,649.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.