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Finding the Third Proportional to 41,430 and 63,718.50

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Solution

The third proportional to 41,430 and 63,718.50 is: 97,997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,430 : 63,718.50 = 63,718.50 : x
  2. Step 2: Convert to fraction form
    41,430/63,718.50 = 63,718.50/x
  3. Step 3: Cross multiply
    41,430x = 63,718.50 × 63,718.50
  4. Step 4: Simplify right side
    41,430x = 4,060,047,242.25
  5. Step 5: Solve for x
    x = 4,060,047,242.25/41,430
  6. Step 6: Final answer
    x = 97,997.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.