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Finding the Third Proportional to 42,477.19 and 67,482.28

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Solution

The third proportional to 42,477.19 and 67,482.28 is: 107,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,477.19 : 67,482.28 = 67,482.28 : x
  2. Step 2: Convert to fraction form
    42,477.19/67,482.28 = 67,482.28/x
  3. Step 3: Cross multiply
    42,477.19x = 67,482.28 × 67,482.28
  4. Step 4: Simplify right side
    42,477.19x = 4,553,858,282.70
  5. Step 5: Solve for x
    x = 4,553,858,282.70/42,477.19
  6. Step 6: Final answer
    x = 107,207.15

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.