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Finding the Third Proportional to 46,670 and 74,864.50

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Solution

The third proportional to 46,670 and 74,864.50 is: 120,091.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,670 : 74,864.50 = 74,864.50 : x
  2. Step 2: Convert to fraction form
    46,670/74,864.50 = 74,864.50/x
  3. Step 3: Cross multiply
    46,670x = 74,864.50 × 74,864.50
  4. Step 4: Simplify right side
    46,670x = 5,604,693,360.25
  5. Step 5: Solve for x
    x = 5,604,693,360.25/46,670
  6. Step 6: Final answer
    x = 120,091.99

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.