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Finding the Third Proportional to 9,152 and 9,440

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Solution

The third proportional to 9,152 and 9,440 is: 9,737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152 : 9,440 = 9,440 : x
  2. Step 2: Convert to fraction form
    9,152/9,440 = 9,440/x
  3. Step 3: Cross multiply
    9,152x = 9,440 × 9,440
  4. Step 4: Simplify right side
    9,152x = 89,113,600
  5. Step 5: Solve for x
    x = 89,113,600/9,152
  6. Step 6: Final answer
    x = 9,737.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.