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Finding the Third Proportional to 661.13 and 972.38

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Solution

The third proportional to 661.13 and 972.38 is: 1,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.13 : 972.38 = 972.38 : x
  2. Step 2: Convert to fraction form
    661.13/972.38 = 972.38/x
  3. Step 3: Cross multiply
    661.13x = 972.38 × 972.38
  4. Step 4: Simplify right side
    661.13x = 945,513.14
  5. Step 5: Solve for x
    x = 945,513.14/661.13
  6. Step 6: Final answer
    x = 1,430.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.