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Finding the Third Proportional to 45,320 and 63,707.25

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Solution

The third proportional to 45,320 and 63,707.25 is: 89,554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,320 : 63,707.25 = 63,707.25 : x
  2. Step 2: Convert to fraction form
    45,320/63,707.25 = 63,707.25/x
  3. Step 3: Cross multiply
    45,320x = 63,707.25 × 63,707.25
  4. Step 4: Simplify right side
    45,320x = 4,058,613,702.56
  5. Step 5: Solve for x
    x = 4,058,613,702.56/45,320
  6. Step 6: Final answer
    x = 89,554.58

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.