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Finding the Third Proportional to 6,470 and 9,127

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Solution

The third proportional to 6,470 and 9,127 is: 12,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470 : 9,127 = 9,127 : x
  2. Step 2: Convert to fraction form
    6,470/9,127 = 9,127/x
  3. Step 3: Cross multiply
    6,470x = 9,127 × 9,127
  4. Step 4: Simplify right side
    6,470x = 83,302,129
  5. Step 5: Solve for x
    x = 83,302,129/6,470
  6. Step 6: Final answer
    x = 12,875.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.