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Finding the Third Proportional to 32,111.63 and 49,417.88

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Solution

The third proportional to 32,111.63 and 49,417.88 is: 76,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,111.63 : 49,417.88 = 49,417.88 : x
  2. Step 2: Convert to fraction form
    32,111.63/49,417.88 = 49,417.88/x
  3. Step 3: Cross multiply
    32,111.63x = 49,417.88 × 49,417.88
  4. Step 4: Simplify right side
    32,111.63x = 2,442,126,369.52
  5. Step 5: Solve for x
    x = 2,442,126,369.52/32,111.63
  6. Step 6: Final answer
    x = 76,051.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.