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Finding the Third Proportional to 34,312 and 52,461

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Solution

The third proportional to 34,312 and 52,461 is: 80,209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,312 : 52,461 = 52,461 : x
  2. Step 2: Convert to fraction form
    34,312/52,461 = 52,461/x
  3. Step 3: Cross multiply
    34,312x = 52,461 × 52,461
  4. Step 4: Simplify right side
    34,312x = 2,752,156,521
  5. Step 5: Solve for x
    x = 2,752,156,521/34,312
  6. Step 6: Final answer
    x = 80,209.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.