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Finding the Third Proportional to 32,083 and 77,746.50

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Solution

The third proportional to 32,083 and 77,746.50 is: 188,402.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083 : 77,746.50 = 77,746.50 : x
  2. Step 2: Convert to fraction form
    32,083/77,746.50 = 77,746.50/x
  3. Step 3: Cross multiply
    32,083x = 77,746.50 × 77,746.50
  4. Step 4: Simplify right side
    32,083x = 6,044,518,262.25
  5. Step 5: Solve for x
    x = 6,044,518,262.25/32,083
  6. Step 6: Final answer
    x = 188,402.53

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.