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Finding the Third Proportional to 30,689.81 and 46,148.81

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Solution

The third proportional to 30,689.81 and 46,148.81 is: 69,394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,689.81 : 46,148.81 = 46,148.81 : x
  2. Step 2: Convert to fraction form
    30,689.81/46,148.81 = 46,148.81/x
  3. Step 3: Cross multiply
    30,689.81x = 46,148.81 × 46,148.81
  4. Step 4: Simplify right side
    30,689.81x = 2,129,712,895.16
  5. Step 5: Solve for x
    x = 2,129,712,895.16/30,689.81
  6. Step 6: Final answer
    x = 69,394.78

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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.