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Finding the Third Proportional to 10,316 and 13,490

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Solution

The third proportional to 10,316 and 13,490 is: 17,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316 : 13,490 = 13,490 : x
  2. Step 2: Convert to fraction form
    10,316/13,490 = 13,490/x
  3. Step 3: Cross multiply
    10,316x = 13,490 × 13,490
  4. Step 4: Simplify right side
    10,316x = 181,980,100
  5. Step 5: Solve for x
    x = 181,980,100/10,316
  6. Step 6: Final answer
    x = 17,640.57

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.