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Finding the Third Proportional to 7,089 and 10,417

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Solution

The third proportional to 7,089 and 10,417 is: 15,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089 : 10,417 = 10,417 : x
  2. Step 2: Convert to fraction form
    7,089/10,417 = 10,417/x
  3. Step 3: Cross multiply
    7,089x = 10,417 × 10,417
  4. Step 4: Simplify right side
    7,089x = 108,513,889
  5. Step 5: Solve for x
    x = 108,513,889/7,089
  6. Step 6: Final answer
    x = 15,307.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.