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Finding the Third Proportional to 1,457.16 and 2,317.36

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Solution

The third proportional to 1,457.16 and 2,317.36 is: 3,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.16 : 2,317.36 = 2,317.36 : x
  2. Step 2: Convert to fraction form
    1,457.16/2,317.36 = 2,317.36/x
  3. Step 3: Cross multiply
    1,457.16x = 2,317.36 × 2,317.36
  4. Step 4: Simplify right side
    1,457.16x = 5,370,154.47
  5. Step 5: Solve for x
    x = 5,370,154.47/1,457.16
  6. Step 6: Final answer
    x = 3,685.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.