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Finding the Third Proportional to 15,130 and 32,090

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Solution

The third proportional to 15,130 and 32,090 is: 68,061.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,130 : 32,090 = 32,090 : x
  2. Step 2: Convert to fraction form
    15,130/32,090 = 32,090/x
  3. Step 3: Cross multiply
    15,130x = 32,090 × 32,090
  4. Step 4: Simplify right side
    15,130x = 1,029,768,100
  5. Step 5: Solve for x
    x = 1,029,768,100/15,130
  6. Step 6: Final answer
    x = 68,061.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.