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Finding the Third Proportional to 46,080 and 70,032

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Solution

The third proportional to 46,080 and 70,032 is: 106,434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,080 : 70,032 = 70,032 : x
  2. Step 2: Convert to fraction form
    46,080/70,032 = 70,032/x
  3. Step 3: Cross multiply
    46,080x = 70,032 × 70,032
  4. Step 4: Simplify right side
    46,080x = 4,904,481,024
  5. Step 5: Solve for x
    x = 4,904,481,024/46,080
  6. Step 6: Final answer
    x = 106,434.05

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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.