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Finding the Third Proportional to 970 and 1,552

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Solution

The third proportional to 970 and 1,552 is: 2,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    970 : 1,552 = 1,552 : x
  2. Step 2: Convert to fraction form
    970/1,552 = 1,552/x
  3. Step 3: Cross multiply
    970x = 1,552 × 1,552
  4. Step 4: Simplify right side
    970x = 2,408,704
  5. Step 5: Solve for x
    x = 2,408,704/970
  6. Step 6: Final answer
    x = 2,483.20

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.