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Finding the Third Proportional to 10,534 and 15,785

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Solution

The third proportional to 10,534 and 15,785 is: 23,653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534 : 15,785 = 15,785 : x
  2. Step 2: Convert to fraction form
    10,534/15,785 = 15,785/x
  3. Step 3: Cross multiply
    10,534x = 15,785 × 15,785
  4. Step 4: Simplify right side
    10,534x = 249,166,225
  5. Step 5: Solve for x
    x = 249,166,225/10,534
  6. Step 6: Final answer
    x = 23,653.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.