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Finding the Third Proportional to 30,724 and 45,070

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Solution

The third proportional to 30,724 and 45,070 is: 66,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724 : 45,070 = 45,070 : x
  2. Step 2: Convert to fraction form
    30,724/45,070 = 45,070/x
  3. Step 3: Cross multiply
    30,724x = 45,070 × 45,070
  4. Step 4: Simplify right side
    30,724x = 2,031,304,900
  5. Step 5: Solve for x
    x = 2,031,304,900/30,724
  6. Step 6: Final answer
    x = 66,114.60

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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.