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Finding the Third Proportional to 42,572 and 64,451

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Solution

The third proportional to 42,572 and 64,451 is: 97,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,572 : 64,451 = 64,451 : x
  2. Step 2: Convert to fraction form
    42,572/64,451 = 64,451/x
  3. Step 3: Cross multiply
    42,572x = 64,451 × 64,451
  4. Step 4: Simplify right side
    42,572x = 4,153,931,401
  5. Step 5: Solve for x
    x = 4,153,931,401/42,572
  6. Step 6: Final answer
    x = 97,574.26

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