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Finding the Third Proportional to 29,700 and 65,070

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Solution

The third proportional to 29,700 and 65,070 is: 142,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,700 : 65,070 = 65,070 : x
  2. Step 2: Convert to fraction form
    29,700/65,070 = 65,070/x
  3. Step 3: Cross multiply
    29,700x = 65,070 × 65,070
  4. Step 4: Simplify right side
    29,700x = 4,234,104,900
  5. Step 5: Solve for x
    x = 4,234,104,900/29,700
  6. Step 6: Final answer
    x = 142,562.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.