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Finding the Third Proportional to 14,095.90 and 24,706.27

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Solution

The third proportional to 14,095.90 and 24,706.27 is: 43,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.90 : 24,706.27 = 24,706.27 : x
  2. Step 2: Convert to fraction form
    14,095.90/24,706.27 = 24,706.27/x
  3. Step 3: Cross multiply
    14,095.90x = 24,706.27 × 24,706.27
  4. Step 4: Simplify right side
    14,095.90x = 610,399,561.13
  5. Step 5: Solve for x
    x = 610,399,561.13/14,095.90
  6. Step 6: Final answer
    x = 43,303.35

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.