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Finding the Third Proportional to 30,220.50 and 42,482.25

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Solution

The third proportional to 30,220.50 and 42,482.25 is: 59,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,220.50 : 42,482.25 = 42,482.25 : x
  2. Step 2: Convert to fraction form
    30,220.50/42,482.25 = 42,482.25/x
  3. Step 3: Cross multiply
    30,220.50x = 42,482.25 × 42,482.25
  4. Step 4: Simplify right side
    30,220.50x = 1,804,741,565.06
  5. Step 5: Solve for x
    x = 1,804,741,565.06/30,220.50
  6. Step 6: Final answer
    x = 59,719.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.