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Finding the Third Proportional to 24,341.77 and 53,148.66

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Solution

The third proportional to 24,341.77 and 53,148.66 is: 116,046.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,341.77 : 53,148.66 = 53,148.66 : x
  2. Step 2: Convert to fraction form
    24,341.77/53,148.66 = 53,148.66/x
  3. Step 3: Cross multiply
    24,341.77x = 53,148.66 × 53,148.66
  4. Step 4: Simplify right side
    24,341.77x = 2,824,779,661.18
  5. Step 5: Solve for x
    x = 2,824,779,661.18/24,341.77
  6. Step 6: Final answer
    x = 116,046.62

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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.