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Finding the Third Proportional to 21,045 and 45,047

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Solution

The third proportional to 21,045 and 45,047 is: 96,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,045 : 45,047 = 45,047 : x
  2. Step 2: Convert to fraction form
    21,045/45,047 = 45,047/x
  3. Step 3: Cross multiply
    21,045x = 45,047 × 45,047
  4. Step 4: Simplify right side
    21,045x = 2,029,232,209
  5. Step 5: Solve for x
    x = 2,029,232,209/21,045
  6. Step 6: Final answer
    x = 96,423.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.