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Finding the Third Proportional to 42,546 and 63,403

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Solution

The third proportional to 42,546 and 63,403 is: 94,484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,546 : 63,403 = 63,403 : x
  2. Step 2: Convert to fraction form
    42,546/63,403 = 63,403/x
  3. Step 3: Cross multiply
    42,546x = 63,403 × 63,403
  4. Step 4: Simplify right side
    42,546x = 4,019,940,409
  5. Step 5: Solve for x
    x = 4,019,940,409/42,546
  6. Step 6: Final answer
    x = 94,484.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.