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Finding the Third Proportional to 30,616.42 and 46,386.11

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Solution

The third proportional to 30,616.42 and 46,386.11 is: 70,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616.42 : 46,386.11 = 46,386.11 : x
  2. Step 2: Convert to fraction form
    30,616.42/46,386.11 = 46,386.11/x
  3. Step 3: Cross multiply
    30,616.42x = 46,386.11 × 46,386.11
  4. Step 4: Simplify right side
    30,616.42x = 2,151,670,780.56
  5. Step 5: Solve for x
    x = 2,151,670,780.56/30,616.42
  6. Step 6: Final answer
    x = 70,278.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.