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Finding the Third Proportional to 7,312 and 15,790

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Solution

The third proportional to 7,312 and 15,790 is: 34,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312 : 15,790 = 15,790 : x
  2. Step 2: Convert to fraction form
    7,312/15,790 = 15,790/x
  3. Step 3: Cross multiply
    7,312x = 15,790 × 15,790
  4. Step 4: Simplify right side
    7,312x = 249,324,100
  5. Step 5: Solve for x
    x = 249,324,100/7,312
  6. Step 6: Final answer
    x = 34,097.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.