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Finding the Third Proportional to 7,070 and 10,409

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Solution

The third proportional to 7,070 and 10,409 is: 15,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070 : 10,409 = 10,409 : x
  2. Step 2: Convert to fraction form
    7,070/10,409 = 10,409/x
  3. Step 3: Cross multiply
    7,070x = 10,409 × 10,409
  4. Step 4: Simplify right side
    7,070x = 108,347,281
  5. Step 5: Solve for x
    x = 108,347,281/7,070
  6. Step 6: Final answer
    x = 15,324.93

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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.