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Finding the Third Proportional to 13,877.58 and 21,465.63

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Solution

The third proportional to 13,877.58 and 21,465.63 is: 33,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.58 : 21,465.63 = 21,465.63 : x
  2. Step 2: Convert to fraction form
    13,877.58/21,465.63 = 21,465.63/x
  3. Step 3: Cross multiply
    13,877.58x = 21,465.63 × 21,465.63
  4. Step 4: Simplify right side
    13,877.58x = 460,773,392.04
  5. Step 5: Solve for x
    x = 460,773,392.04/13,877.58
  6. Step 6: Final answer
    x = 33,202.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.