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Finding the Third Proportional to 29,534.63 and 46,762.31

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Solution

The third proportional to 29,534.63 and 46,762.31 is: 74,038.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,534.63 : 46,762.31 = 46,762.31 : x
  2. Step 2: Convert to fraction form
    29,534.63/46,762.31 = 46,762.31/x
  3. Step 3: Cross multiply
    29,534.63x = 46,762.31 × 46,762.31
  4. Step 4: Simplify right side
    29,534.63x = 2,186,713,870.35
  5. Step 5: Solve for x
    x = 2,186,713,870.35/29,534.63
  6. Step 6: Final answer
    x = 74,038.99

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