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Finding the Third Proportional to 45,630 and 61,521

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Solution

The third proportional to 45,630 and 61,521 is: 82,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,630 : 61,521 = 61,521 : x
  2. Step 2: Convert to fraction form
    45,630/61,521 = 61,521/x
  3. Step 3: Cross multiply
    45,630x = 61,521 × 61,521
  4. Step 4: Simplify right side
    45,630x = 3,784,833,441
  5. Step 5: Solve for x
    x = 3,784,833,441/45,630
  6. Step 6: Final answer
    x = 82,946.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.