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Finding the Third Proportional to 30,888.84 and 67,442.63

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Solution

The third proportional to 30,888.84 and 67,442.63 is: 147,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,888.84 : 67,442.63 = 67,442.63 : x
  2. Step 2: Convert to fraction form
    30,888.84/67,442.63 = 67,442.63/x
  3. Step 3: Cross multiply
    30,888.84x = 67,442.63 × 67,442.63
  4. Step 4: Simplify right side
    30,888.84x = 4,548,507,666.89
  5. Step 5: Solve for x
    x = 4,548,507,666.89/30,888.84
  6. Step 6: Final answer
    x = 147,254.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.