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Finding the Third Proportional to 46,023 and 68,386.50

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Solution

The third proportional to 46,023 and 68,386.50 is: 101,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,023 : 68,386.50 = 68,386.50 : x
  2. Step 2: Convert to fraction form
    46,023/68,386.50 = 68,386.50/x
  3. Step 3: Cross multiply
    46,023x = 68,386.50 × 68,386.50
  4. Step 4: Simplify right side
    46,023x = 4,676,713,382.25
  5. Step 5: Solve for x
    x = 4,676,713,382.25/46,023
  6. Step 6: Final answer
    x = 101,616.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.