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Finding the Third Proportional to 7,417 and 16,130

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Solution

The third proportional to 7,417 and 16,130 is: 35,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417 : 16,130 = 16,130 : x
  2. Step 2: Convert to fraction form
    7,417/16,130 = 16,130/x
  3. Step 3: Cross multiply
    7,417x = 16,130 × 16,130
  4. Step 4: Simplify right side
    7,417x = 260,176,900
  5. Step 5: Solve for x
    x = 260,176,900/7,417
  6. Step 6: Final answer
    x = 35,078.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.