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Finding the Third Proportional to 40,904 and 63,223.50

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Solution

The third proportional to 40,904 and 63,223.50 is: 97,721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,904 : 63,223.50 = 63,223.50 : x
  2. Step 2: Convert to fraction form
    40,904/63,223.50 = 63,223.50/x
  3. Step 3: Cross multiply
    40,904x = 63,223.50 × 63,223.50
  4. Step 4: Simplify right side
    40,904x = 3,997,210,952.25
  5. Step 5: Solve for x
    x = 3,997,210,952.25/40,904
  6. Step 6: Final answer
    x = 97,721.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.