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Finding the Third Proportional to 40,657.50 and 64,746

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Solution

The third proportional to 40,657.50 and 64,746 is: 103,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,657.50 : 64,746 = 64,746 : x
  2. Step 2: Convert to fraction form
    40,657.50/64,746 = 64,746/x
  3. Step 3: Cross multiply
    40,657.50x = 64,746 × 64,746
  4. Step 4: Simplify right side
    40,657.50x = 4,192,044,516
  5. Step 5: Solve for x
    x = 4,192,044,516/40,657.50
  6. Step 6: Final answer
    x = 103,106.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.