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Finding the Third Proportional to 23,176.13 and 58,708.13

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Solution

The third proportional to 23,176.13 and 58,708.13 is: 148,715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,176.13 : 58,708.13 = 58,708.13 : x
  2. Step 2: Convert to fraction form
    23,176.13/58,708.13 = 58,708.13/x
  3. Step 3: Cross multiply
    23,176.13x = 58,708.13 × 58,708.13
  4. Step 4: Simplify right side
    23,176.13x = 3,446,643,941.02
  5. Step 5: Solve for x
    x = 3,446,643,941.02/23,176.13
  6. Step 6: Final answer
    x = 148,715.28

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.