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Finding the Third Proportional to 15,495.05 and 31,907.04

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Solution

The third proportional to 15,495.05 and 31,907.04 is: 65,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,495.05 : 31,907.04 = 31,907.04 : x
  2. Step 2: Convert to fraction form
    15,495.05/31,907.04 = 31,907.04/x
  3. Step 3: Cross multiply
    15,495.05x = 31,907.04 × 31,907.04
  4. Step 4: Simplify right side
    15,495.05x = 1,018,059,141.74
  5. Step 5: Solve for x
    x = 1,018,059,141.74/15,495.05
  6. Step 6: Final answer
    x = 65,702.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.