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Finding the Third Proportional to 40,239 and 63,702.50

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Solution

The third proportional to 40,239 and 63,702.50 is: 100,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,239 : 63,702.50 = 63,702.50 : x
  2. Step 2: Convert to fraction form
    40,239/63,702.50 = 63,702.50/x
  3. Step 3: Cross multiply
    40,239x = 63,702.50 × 63,702.50
  4. Step 4: Simplify right side
    40,239x = 4,058,008,506.25
  5. Step 5: Solve for x
    x = 4,058,008,506.25/40,239
  6. Step 6: Final answer
    x = 100,847.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.