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Finding the Third Proportional to 25,712 and 40,746

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Solution

The third proportional to 25,712 and 40,746 is: 64,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712 : 40,746 = 40,746 : x
  2. Step 2: Convert to fraction form
    25,712/40,746 = 40,746/x
  3. Step 3: Cross multiply
    25,712x = 40,746 × 40,746
  4. Step 4: Simplify right side
    25,712x = 1,660,236,516
  5. Step 5: Solve for x
    x = 1,660,236,516/25,712
  6. Step 6: Final answer
    x = 64,570.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.