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Finding the Third Proportional to 23,707.69 and 42,904.69

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Solution

The third proportional to 23,707.69 and 42,904.69 is: 77,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707.69 : 42,904.69 = 42,904.69 : x
  2. Step 2: Convert to fraction form
    23,707.69/42,904.69 = 42,904.69/x
  3. Step 3: Cross multiply
    23,707.69x = 42,904.69 × 42,904.69
  4. Step 4: Simplify right side
    23,707.69x = 1,840,812,209.47
  5. Step 5: Solve for x
    x = 1,840,812,209.47/23,707.69
  6. Step 6: Final answer
    x = 77,646.22

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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.