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Finding the Third Proportional to 42,569 and 64,446

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Solution

The third proportional to 42,569 and 64,446 is: 97,566.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,569 : 64,446 = 64,446 : x
  2. Step 2: Convert to fraction form
    42,569/64,446 = 64,446/x
  3. Step 3: Cross multiply
    42,569x = 64,446 × 64,446
  4. Step 4: Simplify right side
    42,569x = 4,153,286,916
  5. Step 5: Solve for x
    x = 4,153,286,916/42,569
  6. Step 6: Final answer
    x = 97,566.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.