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Finding the Third Proportional to 30,220 and 65,461

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Solution

The third proportional to 30,220 and 65,461 is: 141,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,220 : 65,461 = 65,461 : x
  2. Step 2: Convert to fraction form
    30,220/65,461 = 65,461/x
  3. Step 3: Cross multiply
    30,220x = 65,461 × 65,461
  4. Step 4: Simplify right side
    30,220x = 4,285,142,521
  5. Step 5: Solve for x
    x = 4,285,142,521/30,220
  6. Step 6: Final answer
    x = 141,798.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.