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Finding the Third Proportional to 24,077.25 and 58,006.13

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Solution

The third proportional to 24,077.25 and 58,006.13 is: 139,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,077.25 : 58,006.13 = 58,006.13 : x
  2. Step 2: Convert to fraction form
    24,077.25/58,006.13 = 58,006.13/x
  3. Step 3: Cross multiply
    24,077.25x = 58,006.13 × 58,006.13
  4. Step 4: Simplify right side
    24,077.25x = 3,364,710,537.52
  5. Step 5: Solve for x
    x = 3,364,710,537.52/24,077.25
  6. Step 6: Final answer
    x = 139,746.46

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.