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Finding the Third Proportional to 1,657 and 3,076

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Solution

The third proportional to 1,657 and 3,076 is: 5,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657 : 3,076 = 3,076 : x
  2. Step 2: Convert to fraction form
    1,657/3,076 = 3,076/x
  3. Step 3: Cross multiply
    1,657x = 3,076 × 3,076
  4. Step 4: Simplify right side
    1,657x = 9,461,776
  5. Step 5: Solve for x
    x = 9,461,776/1,657
  6. Step 6: Final answer
    x = 5,710.18

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.