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Finding the Third Proportional to 30,436.50 and 61,710

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Solution

The third proportional to 30,436.50 and 61,710 is: 125,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,436.50 : 61,710 = 61,710 : x
  2. Step 2: Convert to fraction form
    30,436.50/61,710 = 61,710/x
  3. Step 3: Cross multiply
    30,436.50x = 61,710 × 61,710
  4. Step 4: Simplify right side
    30,436.50x = 3,808,124,100
  5. Step 5: Solve for x
    x = 3,808,124,100/30,436.50
  6. Step 6: Final answer
    x = 125,117.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.