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Finding the Third Proportional to 30,459.38 and 45,689.06

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Solution

The third proportional to 30,459.38 and 45,689.06 is: 68,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,459.38 : 45,689.06 = 45,689.06 : x
  2. Step 2: Convert to fraction form
    30,459.38/45,689.06 = 45,689.06/x
  3. Step 3: Cross multiply
    30,459.38x = 45,689.06 × 45,689.06
  4. Step 4: Simplify right side
    30,459.38x = 2,087,490,432.13
  5. Step 5: Solve for x
    x = 2,087,490,432.13/30,459.38
  6. Step 6: Final answer
    x = 68,533.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.