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Finding the Third Proportional to 46,140.05 and 65,980.20

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Solution

The third proportional to 46,140.05 and 65,980.20 is: 94,351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,140.05 : 65,980.20 = 65,980.20 : x
  2. Step 2: Convert to fraction form
    46,140.05/65,980.20 = 65,980.20/x
  3. Step 3: Cross multiply
    46,140.05x = 65,980.20 × 65,980.20
  4. Step 4: Simplify right side
    46,140.05x = 4,353,386,173.48
  5. Step 5: Solve for x
    x = 4,353,386,173.48/46,140.05
  6. Step 6: Final answer
    x = 94,351.58

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.