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Finding the Third Proportional to 14,946.19 and 23,448.66

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Solution

The third proportional to 14,946.19 and 23,448.66 is: 36,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946.19 : 23,448.66 = 23,448.66 : x
  2. Step 2: Convert to fraction form
    14,946.19/23,448.66 = 23,448.66/x
  3. Step 3: Cross multiply
    14,946.19x = 23,448.66 × 23,448.66
  4. Step 4: Simplify right side
    14,946.19x = 549,839,479.93
  5. Step 5: Solve for x
    x = 549,839,479.93/14,946.19
  6. Step 6: Final answer
    x = 36,787.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.