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Finding the Third Proportional to 30,045.88 and 46,707.63

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Solution

The third proportional to 30,045.88 and 46,707.63 is: 72,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,045.88 : 46,707.63 = 46,707.63 : x
  2. Step 2: Convert to fraction form
    30,045.88/46,707.63 = 46,707.63/x
  3. Step 3: Cross multiply
    30,045.88x = 46,707.63 × 46,707.63
  4. Step 4: Simplify right side
    30,045.88x = 2,181,602,233.14
  5. Step 5: Solve for x
    x = 2,181,602,233.14/30,045.88
  6. Step 6: Final answer
    x = 72,609.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.