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Finding the Third Proportional to 1,497.66 and 2,457.42

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Solution

The third proportional to 1,497.66 and 2,457.42 is: 4,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.66 : 2,457.42 = 2,457.42 : x
  2. Step 2: Convert to fraction form
    1,497.66/2,457.42 = 2,457.42/x
  3. Step 3: Cross multiply
    1,497.66x = 2,457.42 × 2,457.42
  4. Step 4: Simplify right side
    1,497.66x = 6,038,922.27
  5. Step 5: Solve for x
    x = 6,038,922.27/1,497.66
  6. Step 6: Final answer
    x = 4,032.25

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.