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Finding the Third Proportional to 977.63 and 1,432.69

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Solution

The third proportional to 977.63 and 1,432.69 is: 2,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.63 : 1,432.69 = 1,432.69 : x
  2. Step 2: Convert to fraction form
    977.63/1,432.69 = 1,432.69/x
  3. Step 3: Cross multiply
    977.63x = 1,432.69 × 1,432.69
  4. Step 4: Simplify right side
    977.63x = 2,052,593.47
  5. Step 5: Solve for x
    x = 2,052,593.47/977.63
  6. Step 6: Final answer
    x = 2,099.57

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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.