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Finding the Third Proportional to 15,707 and 23,090

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Solution

The third proportional to 15,707 and 23,090 is: 33,943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707 : 23,090 = 23,090 : x
  2. Step 2: Convert to fraction form
    15,707/23,090 = 23,090/x
  3. Step 3: Cross multiply
    15,707x = 23,090 × 23,090
  4. Step 4: Simplify right side
    15,707x = 533,148,100
  5. Step 5: Solve for x
    x = 533,148,100/15,707
  6. Step 6: Final answer
    x = 33,943.34

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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.