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Finding the Third Proportional to 15,827.63 and 34,291.13

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Solution

The third proportional to 15,827.63 and 34,291.13 is: 74,292.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.63 : 34,291.13 = 34,291.13 : x
  2. Step 2: Convert to fraction form
    15,827.63/34,291.13 = 34,291.13/x
  3. Step 3: Cross multiply
    15,827.63x = 34,291.13 × 34,291.13
  4. Step 4: Simplify right side
    15,827.63x = 1,175,881,253.77
  5. Step 5: Solve for x
    x = 1,175,881,253.77/15,827.63
  6. Step 6: Final answer
    x = 74,292.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.