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Finding the Third Proportional to 23,309 and 37,070

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Solution

The third proportional to 23,309 and 37,070 is: 58,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309 : 37,070 = 37,070 : x
  2. Step 2: Convert to fraction form
    23,309/37,070 = 37,070/x
  3. Step 3: Cross multiply
    23,309x = 37,070 × 37,070
  4. Step 4: Simplify right side
    23,309x = 1,374,184,900
  5. Step 5: Solve for x
    x = 1,374,184,900/23,309
  6. Step 6: Final answer
    x = 58,955.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.