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Finding the Third Proportional to 970.88 and 1,461.38

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Solution

The third proportional to 970.88 and 1,461.38 is: 2,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.88 : 1,461.38 = 1,461.38 : x
  2. Step 2: Convert to fraction form
    970.88/1,461.38 = 1,461.38/x
  3. Step 3: Cross multiply
    970.88x = 1,461.38 × 1,461.38
  4. Step 4: Simplify right side
    970.88x = 2,135,616.89
  5. Step 5: Solve for x
    x = 2,135,616.89/970.88
  6. Step 6: Final answer
    x = 2,199.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.