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Finding the Third Proportional to 7,140 and 10,202

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Solution

The third proportional to 7,140 and 10,202 is: 14,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140 : 10,202 = 10,202 : x
  2. Step 2: Convert to fraction form
    7,140/10,202 = 10,202/x
  3. Step 3: Cross multiply
    7,140x = 10,202 × 10,202
  4. Step 4: Simplify right side
    7,140x = 104,080,804
  5. Step 5: Solve for x
    x = 104,080,804/7,140
  6. Step 6: Final answer
    x = 14,577.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.