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Finding the Third Proportional to 46,040.91 and 70,075.13

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Solution

The third proportional to 46,040.91 and 70,075.13 is: 106,655.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,040.91 : 70,075.13 = 70,075.13 : x
  2. Step 2: Convert to fraction form
    46,040.91/70,075.13 = 70,075.13/x
  3. Step 3: Cross multiply
    46,040.91x = 70,075.13 × 70,075.13
  4. Step 4: Simplify right side
    46,040.91x = 4,910,523,143.77
  5. Step 5: Solve for x
    x = 4,910,523,143.77/46,040.91
  6. Step 6: Final answer
    x = 106,655.66

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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.