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Finding the Third Proportional to 13,314.69 and 29,012.77

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Solution

The third proportional to 13,314.69 and 29,012.77 is: 63,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.69 : 29,012.77 = 29,012.77 : x
  2. Step 2: Convert to fraction form
    13,314.69/29,012.77 = 29,012.77/x
  3. Step 3: Cross multiply
    13,314.69x = 29,012.77 × 29,012.77
  4. Step 4: Simplify right side
    13,314.69x = 841,740,569.21
  5. Step 5: Solve for x
    x = 841,740,569.21/13,314.69
  6. Step 6: Final answer
    x = 63,218.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.