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Finding the Third Proportional to 23,712.75 and 36,460.13

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Solution

The third proportional to 23,712.75 and 36,460.13 is: 56,060.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712.75 : 36,460.13 = 36,460.13 : x
  2. Step 2: Convert to fraction form
    23,712.75/36,460.13 = 36,460.13/x
  3. Step 3: Cross multiply
    23,712.75x = 36,460.13 × 36,460.13
  4. Step 4: Simplify right side
    23,712.75x = 1,329,340,715.02
  5. Step 5: Solve for x
    x = 1,329,340,715.02/23,712.75
  6. Step 6: Final answer
    x = 56,060.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.