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Finding the Third Proportional to 14,204.95 and 21,032.58

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Solution

The third proportional to 14,204.95 and 21,032.58 is: 31,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204.95 : 21,032.58 = 21,032.58 : x
  2. Step 2: Convert to fraction form
    14,204.95/21,032.58 = 21,032.58/x
  3. Step 3: Cross multiply
    14,204.95x = 21,032.58 × 21,032.58
  4. Step 4: Simplify right side
    14,204.95x = 442,369,342.58
  5. Step 5: Solve for x
    x = 442,369,342.58/14,204.95
  6. Step 6: Final answer
    x = 31,141.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.