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Finding the Third Proportional to 46,911.38 and 69,125.63

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Solution

The third proportional to 46,911.38 and 69,125.63 is: 101,859.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,911.38 : 69,125.63 = 69,125.63 : x
  2. Step 2: Convert to fraction form
    46,911.38/69,125.63 = 69,125.63/x
  3. Step 3: Cross multiply
    46,911.38x = 69,125.63 × 69,125.63
  4. Step 4: Simplify right side
    46,911.38x = 4,778,352,031.64
  5. Step 5: Solve for x
    x = 4,778,352,031.64/46,911.38
  6. Step 6: Final answer
    x = 101,859.13

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.