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Finding the Third Proportional to 43,996 and 63,047

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Solution

The third proportional to 43,996 and 63,047 is: 90,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,996 : 63,047 = 63,047 : x
  2. Step 2: Convert to fraction form
    43,996/63,047 = 63,047/x
  3. Step 3: Cross multiply
    43,996x = 63,047 × 63,047
  4. Step 4: Simplify right side
    43,996x = 3,974,924,209
  5. Step 5: Solve for x
    x = 3,974,924,209/43,996
  6. Step 6: Final answer
    x = 90,347.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.