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Finding the Third Proportional to 21,312 and 44,871

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Solution

The third proportional to 21,312 and 44,871 is: 94,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312 : 44,871 = 44,871 : x
  2. Step 2: Convert to fraction form
    21,312/44,871 = 44,871/x
  3. Step 3: Cross multiply
    21,312x = 44,871 × 44,871
  4. Step 4: Simplify right side
    21,312x = 2,013,406,641
  5. Step 5: Solve for x
    x = 2,013,406,641/21,312
  6. Step 6: Final answer
    x = 94,472.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.