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Finding the Third Proportional to 34,080 and 45,888

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Solution

The third proportional to 34,080 and 45,888 is: 61,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,080 : 45,888 = 45,888 : x
  2. Step 2: Convert to fraction form
    34,080/45,888 = 45,888/x
  3. Step 3: Cross multiply
    34,080x = 45,888 × 45,888
  4. Step 4: Simplify right side
    34,080x = 2,105,708,544
  5. Step 5: Solve for x
    x = 2,105,708,544/34,080
  6. Step 6: Final answer
    x = 61,787.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.