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Finding the Third Proportional to 14,590.13 and 31,411.13

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Solution

The third proportional to 14,590.13 and 31,411.13 is: 67,625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590.13 : 31,411.13 = 31,411.13 : x
  2. Step 2: Convert to fraction form
    14,590.13/31,411.13 = 31,411.13/x
  3. Step 3: Cross multiply
    14,590.13x = 31,411.13 × 31,411.13
  4. Step 4: Simplify right side
    14,590.13x = 986,658,773.77
  5. Step 5: Solve for x
    x = 986,658,773.77/14,590.13
  6. Step 6: Final answer
    x = 67,625.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.