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Finding the Third Proportional to 6,417.56 and 15,827.06

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Solution

The third proportional to 6,417.56 and 15,827.06 is: 39,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.56 : 15,827.06 = 15,827.06 : x
  2. Step 2: Convert to fraction form
    6,417.56/15,827.06 = 15,827.06/x
  3. Step 3: Cross multiply
    6,417.56x = 15,827.06 × 15,827.06
  4. Step 4: Simplify right side
    6,417.56x = 250,495,907.38
  5. Step 5: Solve for x
    x = 250,495,907.38/6,417.56
  6. Step 6: Final answer
    x = 39,032.87

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.