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Finding the Third Proportional to 42,995 and 66,437

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Solution

The third proportional to 42,995 and 66,437 is: 102,660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,995 : 66,437 = 66,437 : x
  2. Step 2: Convert to fraction form
    42,995/66,437 = 66,437/x
  3. Step 3: Cross multiply
    42,995x = 66,437 × 66,437
  4. Step 4: Simplify right side
    42,995x = 4,413,874,969
  5. Step 5: Solve for x
    x = 4,413,874,969/42,995
  6. Step 6: Final answer
    x = 102,660.19

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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.